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397824630336 = 2633742178121
BaseRepresentation
bin1011100101000000011…
…00100001111001000000
31102000212002020010211000
411302200030201321000
523004221101132321
6502431430252000
740512315364260
oct5624014417100
91360762203730
10397824630336
111437976a5a31
12651267b7000
132b68ca51863
141537d2d77a0
15a535944826
hex5ca0321e40

397824630336 has 224 divisors, whose sum is σ = 1339798549760. Its totient is φ = 113392742400.

The previous prime is 397824630323. The next prime is 397824630337. The reversal of 397824630336 is 633036428793.

397824630336 is a `hidden beast` number, since 3 + 97 + 8 + 246 + 303 + 3 + 6 = 666.

397824630336 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (397824630337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5053356 + ... + 5131476.

Almost surely, 2397824630336 is an apocalyptic number.

397824630336 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 397824630336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669899274880).

397824630336 is an abundant number, since it is smaller than the sum of its proper divisors (941973919424).

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

397824630336 is a wasteful number, since it uses less digits than its factorization.

397824630336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78570 (or 78554 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 397824630336 in words is "three hundred ninety-seven billion, eight hundred twenty-four million, six hundred thirty thousand, three hundred thirty-six".