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3740230656 = 210321723873
BaseRepresentation
bin1101111011101111…
…0110010000000000
3100122122220101220100
43132323312100000
530124444340111
61415050042400
7161454302361
oct33673662000
910578811810
103740230656
11164a298718
12884719400
13477b6b446
14276a53b68
1516d561756
hexdeef6400

3740230656 has 132 divisors (see below), whose sum is σ = 11435598252. Its totient is φ = 1173356544.

The previous prime is 3740230651. The next prime is 3740230709. The reversal of 3740230656 is 6560320473.

3740230656 is a `hidden beast` number, since 374 + 0 + 230 + 6 + 56 = 666.

3740230656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1625702400 + 2114528256 = 40320^2 + 45984^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3740230656.

It is not an unprimeable number, because it can be changed into a prime (3740230651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144736 + ... + 168608.

Almost surely, 23740230656 is an apocalyptic number.

3740230656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3740230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717799126).

3740230656 is an abundant number, since it is smaller than the sum of its proper divisors (7695367596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3740230656 is a wasteful number, since it uses less digits than its factorization.

3740230656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23916 (or 23895 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3740230656 is about 61157.4251910592. The cubic root of 3740230656 is about 1552.2659408943.

The spelling of 3740230656 in words is "three billion, seven hundred forty million, two hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 6528 8704 9216 9792 13056 17408 19584 23873 26112 39168 47746 52224 71619 78336 95492 143238 156672 190984 214857 286476 381968 405841 429714 572952 763936 811682 859428 1145904 1217523 1527872 1623364 1718856 2291808 2435046 3055744 3246728 3437712 3652569 4583616 4870092 6111488 6493456 6875424 7305138 9167232 9740184 12222976 12986912 13750848 14610276 18334464 19480368 24445952 25973824 27501696 29220552 36668928 38960736 51947648 55003392 58441104 73337856 77921472 103895296 110006784 116882208 155842944 207790592 220013568 233764416 311685888 415581184 467528832 623371776 935057664 1246743552 1870115328 3740230656