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331418916 = 223237248813
BaseRepresentation
bin10011110000010…
…000110100100100
3212002121211021200
4103300100310210
51134320401131
652515242500
711133004623
oct2360206444
9762554250
10331418916
11160093a34
1292ba9430
135387b88a
14320316ba
151e1682e6
hex13c10d24

331418916 has 36 divisors (see below), whose sum is σ = 860398812. Its totient is φ = 107486784.

The previous prime is 331418869. The next prime is 331418959. The reversal of 331418916 is 619814133.

It can be written as a sum of positive squares in 2 ways, for example, as 155750400 + 175668516 = 12480^2 + 13254^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123075 + ... + 125738.

It is an arithmetic number, because the mean of its divisors is an integer number (23899967).

Almost surely, 2331418916 is an apocalyptic number.

331418916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

331418916 is an abundant number, since it is smaller than the sum of its proper divisors (528979896).

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

331418916 is a wasteful number, since it uses less digits than its factorization.

331418916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248860 (or 248855 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 331418916 is about 18204.9146111702. The cubic root of 331418916 is about 692.0313422048.

The spelling of 331418916 in words is "three hundred thirty-one million, four hundred eighteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 248813 497626 746439 995252 1492878 2239317 2985756 4478634 8957268 9206081 18412162 27618243 36824324 55236486 82854729 110472972 165709458 331418916