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398203968 = 2632390173
BaseRepresentation
bin10111101111000…
…001110001000000
31000202021212011010
4113233001301000
51303420011333
6103302520520
712603451341
oct2757016100
91022255133
10398203968
11194859598
12b1436140
1364662c66
143ac580c8
1524e5b563
hex17bc1c40

398203968 has 56 divisors (see below), whose sum is σ = 1099401408. Its totient is φ = 126962176.

The previous prime is 398203933. The next prime is 398203987. The reversal of 398203968 is 869302893.

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

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 7 ways as a sum of consecutive naturals, for example, 40671 + ... + 49502.

It is an arithmetic number, because the mean of its divisors is an integer number (19632168).

Almost surely, 2398203968 is an apocalyptic number.

It is an amenable number.

398203968 is an abundant number, since it is smaller than the sum of its proper divisors (701197440).

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

398203968 is a wasteful number, since it uses less digits than its factorization.

398203968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90211 (or 90201 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 398203968 is about 19955.0486844808. The cubic root of 398203968 is about 735.7018720087.

It can be divided in two parts, 398203 and 968, that added together give a triangular number (399171 = T893).

The spelling of 398203968 in words is "three hundred ninety-eight million, two hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 90173 180346 270519 360692 541038 721384 1082076 1442768 2073979 2164152 2885536 4147958 4328304 5771072 6221937 8295916 8656608 12443874 16591832 17313216 24887748 33183664 49775496 66367328 99550992 132734656 199101984 398203968