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397063680 = 2935134197
BaseRepresentation
bin10111101010101…
…011011000000000
31000200010220222020
4113222223120000
51303122014210
6103222241440
712560662026
oct2752533000
91020126866
10397063680
1119414a902
12b0b86280
1364353c30
143aa3c716
1524cd3770
hex17aab600

397063680 has 320 divisors, whose sum is σ = 1414784448. Its totient is φ = 94371840.

The previous prime is 397063657. The next prime is 397063699. The reversal of 397063680 is 86360793.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 4093392 + ... + 4093488.

Almost surely, 2397063680 is an apocalyptic number.

397063680 is a gapful number since it is divisible by the number (30) 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 397063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707392224).

397063680 is an abundant number, since it is smaller than the sum of its proper divisors (1017720768).

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

397063680 is a wasteful number, since it uses less digits than its factorization.

397063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 397063680 is about 19926.4567848878. The cubic root of 397063680 is about 734.9989541380.

The spelling of 397063680 in words is "three hundred ninety-seven million, sixty-three thousand, six hundred eighty".