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398385034320 = 2435713431912221
BaseRepresentation
bin1011100110000011001…
…10010011010001010000
31102002022010201121120010
411303001212103101100
523011343032044240
6503003205514520
740532231630160
oct5630146232120
91362263647503
10398385034320
11143a54a69819
1265262412a40
132b74bb95750
14153d38d45a0
15a569c40280
hex5cc1993450

398385034320 has 640 divisors, whose sum is σ = 1564187885568. Its totient is φ = 81633484800.

The previous prime is 398385034283. The next prime is 398385034321. The reversal of 398385034320 is 23430583893.

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

It is a self number, because there is not a number n which added to its sum of digits gives 398385034320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398385034321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179370810 + ... + 179373030.

Almost surely, 2398385034320 is an apocalyptic number.

398385034320 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 398385034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782093942784).

398385034320 is an abundant number, since it is smaller than the sum of its proper divisors (1165802851248).

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

398385034320 is a wasteful number, since it uses less digits than its factorization.

398385034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 398385034320 in words is "three hundred ninety-eight billion, three hundred eighty-five million, thirty-four thousand, three hundred twenty".