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BaseRepresentation
bin10111101110110…
…000000000000000
31000202011011100000
4113232300000000
51303410144300
6103301200000
712603026235
oct2756600000
91022134300
10398131200
11194809955
12b1400000
1364638abc
143ac3978c
1524e44c00
hex17bb0000

398131200 has 306 divisors, whose sum is σ = 1479005164. Its totient is φ = 106168320.

The previous prime is 398131189. The next prime is 398131229. The reversal of 398131200 is 2131893.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)2 ⋅ 4! ⋅ (2!)5.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 79626238 + ... + 79626242.

Almost surely, 2398131200 is an apocalyptic number.

398131200 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 398131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739502582).

398131200 is an abundant number, since it is smaller than the sum of its proper divisors (1080873964).

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

398131200 is an frugal number, since it uses more digits than its factorization.

398131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 398131200 is about 19953.2253031935. The cubic root of 398131200 is about 735.6570550978.

Multiplying 398131200 by its sum of digits (27), we get a square (10749542400 = 1036802).

398131200 divided by its sum of digits (27) gives a square (14745600 = 38402).

The spelling of 398131200 in words is "three hundred ninety-eight million, one hundred thirty-one thousand, two hundred".