Search a number
-
+
3380196352 = 21013318191
BaseRepresentation
bin1100100101111001…
…1011010000000000
322201120102202200111
43021132123100000
523410312240402
61315225201104
7146523123601
oct31136332000
98646382614
103380196352
11148503a605
127a4030194
1341b3b0bb0
14240cd3da8
1514bb449d7
hexc979b400

3380196352 has 88 divisors (see below), whose sum is σ = 7512522752. Its totient is φ = 1509580800.

The previous prime is 3380196319. The next prime is 3380196367. The reversal of 3380196352 is 2536910833.

It is a super-2 number, since 2×33801963522 = 22851454756148215808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408577 + ... + 416767.

Almost surely, 23380196352 is an apocalyptic number.

3380196352 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 3380196352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756261376).

3380196352 is an abundant number, since it is smaller than the sum of its proper divisors (4132326400).

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

3380196352 is a wasteful number, since it uses less digits than its factorization.

3380196352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 3380196352 is about 58139.4560690070. The cubic root of 3380196352 is about 1500.7694351715.

The spelling of 3380196352 in words is "three billion, three hundred eighty million, one hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1024 1612 1664 1984 3224 3328 3968 6448 6656 7936 8191 12896 13312 15872 16382 25792 31744 32764 51584 65528 103168 106483 131056 206336 212966 253921 262112 412672 425932 507842 524224 851864 1015684 1048448 1703728 2031368 2096896 3300973 3407456 4062736 4193792 6601946 6814912 8125472 8387584 13203892 13629824 16250944 26407784 27259648 32501888 52815568 54519296 65003776 105631136 109038592 130007552 211262272 260015104 422524544 845049088 1690098176 3380196352