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332142132 = 22374399007
BaseRepresentation
bin10011110011000…
…001011000110100
3212010222120100110
4103303001120310
51140012022012
652542543020
711142106260
oct2363013064
9763876313
10332142132
11160538333
1293297a70
1353a72b0a
143217d0a0
151e25c73c
hex13cc1634

332142132 has 48 divisors (see below), whose sum is σ = 887828480. Its totient is φ = 94671072.

The previous prime is 332142131. The next prime is 332142137. The reversal of 332142132 is 231241233.

332142132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3321421322 = 220636791699010848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 332142099 and 332142108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332142131) 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 15 ways as a sum of consecutive naturals, for example, 32373 + ... + 41379.

Almost surely, 2332142132 is an apocalyptic number.

It is an amenable number.

332142132 is an abundant number, since it is smaller than the sum of its proper divisors (555686348).

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

332142132 is a wasteful number, since it uses less digits than its factorization.

332142132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9460 (or 9458 counting only the distinct ones).

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

The square root of 332142132 is about 18224.7669943953. The cubic root of 332142132 is about 692.5343556659.

Adding to 332142132 its reverse (231241233), we get a palindrome (563383365).

The spelling of 332142132 in words is "three hundred thirty-two million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 439 878 1317 1756 2634 3073 5268 6146 9007 9219 12292 18014 18438 27021 36028 36876 54042 63049 108084 126098 189147 252196 378294 756588 3954073 7908146 11862219 15816292 23724438 27678511 47448876 55357022 83035533 110714044 166071066 332142132