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332816940 = 223251848983
BaseRepresentation
bin10011110101100…
…110001000101100
3212012020212000100
4103311212020230
51140200120230
653005231100
711150616531
oct2365461054
9765225010
10332816940
11160959325
1293562490
1353c4b001
14322b6d88
151e342660
hex13d6622c

332816940 has 36 divisors (see below), whose sum is σ = 1009545264. Its totient is φ = 88751136.

The previous prime is 332816933. The next prime is 332816941. The reversal of 332816940 is 49618233.

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

It is a super-2 number, since 2×3328169402 = 221534231101927200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 332816895 and 332816904.

It is not an unprimeable number, because it can be changed into a prime (332816941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 924312 + ... + 924671.

It is an arithmetic number, because the mean of its divisors is an integer number (28042924).

Almost surely, 2332816940 is an apocalyptic number.

332816940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332816940 is an abundant number, since it is smaller than the sum of its proper divisors (676728324).

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

332816940 is a wasteful number, since it uses less digits than its factorization.

332816940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848998 (or 1848993 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 332816940 is about 18243.2710882670. The cubic root of 332816940 is about 693.0030421585.

The spelling of 332816940 in words is "three hundred thirty-two million, eight hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1848983 3697966 5546949 7395932 9244915 11093898 16640847 18489830 22187796 27734745 33281694 36979660 55469490 66563388 83204235 110938980 166408470 332816940