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332745252 = 223719210973
BaseRepresentation
bin10011110101010…
…100101000100100
3212012010012200020
4103311110220210
51140140322002
653003515140
711150200530
oct2365245044
9765105606
10332745252
1116090a484
1293528ab0
1353c244a8
1432298bc0
151e32b2bc
hex13d54a24

332745252 has 72 divisors (see below), whose sum is σ = 936565056. Its totient is φ = 90058176.

The previous prime is 332745251. The next prime is 332745277. The reversal of 332745252 is 252547233.

It is a super-2 number, since 2×3327452522 = 221438805457087008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332745251) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24838 + ... + 35810.

It is an arithmetic number, because the mean of its divisors is an integer number (13007848).

Almost surely, 2332745252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332745252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468282528).

332745252 is an abundant number, since it is smaller than the sum of its proper divisors (603819804).

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

332745252 is a wasteful number, since it uses less digits than its factorization.

332745252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11025 (or 11004 counting only the distinct ones).

The product of its digits is 50400, while the sum is 33.

The square root of 332745252 is about 18241.3062032301. The cubic root of 332745252 is about 692.9532815008.

The spelling of 332745252 in words is "three hundred thirty-two million, seven hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 361 399 532 722 798 1083 1444 1596 2166 2527 4332 5054 7581 10108 10973 15162 21946 30324 32919 43892 65838 76811 131676 153622 208487 230433 307244 416974 460866 625461 833948 921732 1250922 1459409 2501844 2918818 3961253 4378227 5837636 7922506 8756454 11883759 15845012 17512908 23767518 27728771 47535036 55457542 83186313 110915084 166372626 332745252