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331061040 = 24335153269
BaseRepresentation
bin10011101110111…
…001011100110000
3212001221122101000
4103232321130300
51134222423130
652503442000
711126654352
oct2356713460
9761848330
10331061040
1115a96a072
1292a56300
1353784a0b
1431d7b0d2
151e0e7260
hex13bb9730

331061040 has 80 divisors (see below), whose sum is σ = 1140328800. Its totient is φ = 88282368.

The previous prime is 331060991. The next prime is 331061053. The reversal of 331061040 is 40160133.

331061040 is a `hidden beast` number, since 3 + 3 + 10 + 610 + 40 = 666.

331061040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74475 + ... + 78794.

It is an arithmetic number, because the mean of its divisors is an integer number (14254110).

Almost surely, 2331061040 is an apocalyptic number.

331061040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331061040 is an abundant number, since it is smaller than the sum of its proper divisors (809267760).

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

331061040 is a wasteful number, since it uses less digits than its factorization.

331061040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153291 (or 153279 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 331061040 is about 18195.0828522433. The cubic root of 331061040 is about 691.7821604852.

The spelling of 331061040 in words is "three hundred thirty-one million, sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 153269 306538 459807 613076 766345 919614 1226152 1379421 1532690 1839228 2299035 2452304 2758842 3065380 3678456 4138263 4598070 5517684 6130760 6897105 7356912 8276526 9196140 11035368 12261520 13794210 16553052 18392280 20691315 22070736 27588420 33106104 36784560 41382630 55176840 66212208 82765260 110353680 165530520 331061040