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331343040 = 2635749307
BaseRepresentation
bin10011101111111…
…110010011000000
3212002110222012110
4103233332103000
51134310434130
652513455320
711132240460
oct2357762300
9762428173
10331343040
11160041a26
1292b71540
1353853192
1432011ba0
151e150ab0
hex13bfe4c0

331343040 has 112 divisors (see below), whose sum is σ = 1202326272. Its totient is φ = 75734016.

The previous prime is 331343027. The next prime is 331343059. The reversal of 331343040 is 40343133.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 331342998 and 331343016.

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, 17934 + ... + 31373.

It is an arithmetic number, because the mean of its divisors is an integer number (10735056).

Almost surely, 2331343040 is an apocalyptic number.

331343040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331343040 is an abundant number, since it is smaller than the sum of its proper divisors (870983232).

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

331343040 is a wasteful number, since it uses less digits than its factorization.

331343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49334 (or 49324 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 331343040 is about 18202.8305491207. The cubic root of 331343040 is about 691.9785262919.

Adding to 331343040 its reverse (40343133), we get a palindrome (371686173).

The spelling of 331343040 in words is "three hundred thirty-one million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 49307 98614 147921 197228 246535 295842 345149 394456 493070 591684 690298 739605 788912 986140 1035447 1183368 1380596 1479210 1577824 1725745 1972280 2070894 2366736 2761192 2958420 3155648 3451490 3944560 4141788 4733472 5177235 5522384 5916840 6902980 7889120 8283576 9466944 10354470 11044768 11833680 13805960 15778240 16567152 20708940 22089536 23667360 27611920 33134304 41417880 47334720 55223840 66268608 82835760 110447680 165671520 331343040