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331140432 = 2437320113
BaseRepresentation
bin10011101111001…
…100110101010000
3212002002200021110
4103233030311100
51134232443212
652505253320
711130435000
oct2357146520
9762080243
10331140432
1115aa13787
1292a94240
13537b1bac
1431d9c000
151e110a3c
hex13bccd50

331140432 has 80 divisors (see below), whose sum is σ = 997654400. Its totient is φ = 94606848.

The previous prime is 331140421. The next prime is 331140437. The reversal of 331140432 is 234041133.

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 = 331140399 and 331140408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331140437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6408 + ... + 26520.

It is an arithmetic number, because the mean of its divisors is an integer number (12470680).

Almost surely, 2331140432 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 331140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498827200).

331140432 is an abundant number, since it is smaller than the sum of its proper divisors (666513968).

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

331140432 is a wasteful number, since it uses less digits than its factorization.

331140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20145 (or 20125 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 331140432 is about 18197.2644097952. The cubic root of 331140432 is about 691.8374550008.

Adding to 331140432 its reverse (234041133), we get a palindrome (565181565).

The spelling of 331140432 in words is "three hundred thirty-one million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 5488 8232 16464 20113 40226 60339 80452 120678 140791 160904 241356 281582 321808 422373 482712 563164 844746 965424 985537 1126328 1689492 1971074 2252656 2956611 3378984 3942148 5913222 6757968 6898759 7884296 11826444 13797518 15768592 20696277 23652888 27595036 41392554 47305776 55190072 82785108 110380144 165570216 331140432