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3340074592 = 251789149463
BaseRepresentation
bin1100011100010101…
…0111111001100000
322121202221100222101
43013011113321200
523320024341332
61311233220144
7145525110541
oct30705277140
98552840871
103340074592
111464426528
12792701654
13412ca3aca
1423984c4c8
1514836bae7
hexc7157e60

3340074592 has 96 divisors (see below), whose sum is σ = 7103376000. Its totient is φ = 1540374528.

The previous prime is 3340074557. The next prime is 3340074593. The reversal of 3340074592 is 2954700433.

3340074592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33400745922 = 22312196560247932928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340074593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7213753 + ... + 7214215.

It is an arithmetic number, because the mean of its divisors is an integer number (73993500).

Almost surely, 23340074592 is an apocalyptic number.

3340074592 is a gapful number since it is divisible by the number (32) 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 3340074592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551688000).

3340074592 is an abundant number, since it is smaller than the sum of its proper divisors (3763301408).

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

3340074592 is a wasteful number, since it uses less digits than its factorization.

3340074592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 3340074592 is about 57793.3784442474. The cubic root of 3340074592 is about 1494.8079143820.

The spelling of 3340074592 in words is "three billion, three hundred forty million, seventy-four thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 68 89 136 149 178 272 298 356 463 544 596 712 926 1192 1424 1513 1852 2384 2533 2848 3026 3704 4768 5066 6052 7408 7871 10132 12104 13261 14816 15742 20264 24208 26522 31484 40528 41207 48416 53044 62968 68987 81056 82414 106088 125936 137974 164828 212176 225437 251872 275948 329656 424352 450874 551896 659312 700519 901748 1103792 1172779 1318624 1401038 1803496 2207584 2345558 2802076 3606992 4691116 5604152 6139843 7213984 9382232 11208304 12279686 18764464 22416608 24559372 37528928 49118744 98237488 104377331 196474976 208754662 417509324 835018648 1670037296 3340074592