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398632144 = 2429859121
BaseRepresentation
bin10111110000101…
…010010011010000
31000210002121111111
4113300222103100
51304022212034
6103320023104
712610213561
oct2760522320
91023077444
10398632144
11195021259
12b1601a94
1364782b11
143ad2a168
1524ee3364
hex17c2a4d0

398632144 has 20 divisors (see below), whose sum is σ = 798983460. Its totient is φ = 192442880.

The previous prime is 398632139. The next prime is 398632177. The reversal of 398632144 is 441236893.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77792400 + 320839744 = 8820^2 + 17912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 398632097 and 398632106.

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 3 ways as a sum of consecutive naturals, for example, 429097 + ... + 430024.

It is an arithmetic number, because the mean of its divisors is an integer number (39949173).

Almost surely, 2398632144 is an apocalyptic number.

It is an amenable number.

398632144 is an abundant number, since it is smaller than the sum of its proper divisors (400351316).

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

398632144 is a wasteful number, since it uses less digits than its factorization.

398632144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859158 (or 859152 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 398632144 is about 19965.7743150623. The cubic root of 398632144 is about 735.9654697883.

The spelling of 398632144 in words is "three hundred ninety-eight million, six hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 859121 1718242 3436484 6872968 13745936 24914509 49829018 99658036 199316072 398632144