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396068448 = 25317242689
BaseRepresentation
bin10111100110111…
…000011001100000
31000121021100202210
4113212320121200
51302343142243
6103145042120
712546345336
oct2746703140
91017240683
10396068448
111936300a6
12b0786340
1364095c39
143a85db56
1524b88933
hex179b8660

396068448 has 48 divisors (see below), whose sum is σ = 1100841840. Its totient is φ = 124256256.

The previous prime is 396068443. The next prime is 396068473. The reversal of 396068448 is 844860693.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3960684482 = 313740431002257408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 396068397 and 396068406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396068443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119713 + ... + 122976.

It is an arithmetic number, because the mean of its divisors is an integer number (22934205).

Almost surely, 2396068448 is an apocalyptic number.

It is an amenable number.

396068448 is an abundant number, since it is smaller than the sum of its proper divisors (704773392).

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

396068448 is a wasteful number, since it uses less digits than its factorization.

396068448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242719 (or 242711 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 396068448 is about 19901.4684885312. The cubic root of 396068448 is about 734.3843537375.

The spelling of 396068448 in words is "three hundred ninety-six million, sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 242689 485378 728067 970756 1456134 1941512 2912268 3883024 4125713 5824536 7766048 8251426 11649072 12377139 16502852 23298144 24754278 33005704 49508556 66011408 99017112 132022816 198034224 396068448