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33142340304 = 2432613375457
BaseRepresentation
bin11110110111011011…
…111111101011010000
310011112202011022220100
4132313123333223100
51020333414342204
623120403212400
72252204146563
oct366733775320
9104482138810
1033142340304
1113067a94897
12650b377100
1331823c5c68
1418659044da
15cde937a39
hex7b76ffad0

33142340304 has 60 divisors (see below), whose sum is σ = 92904078436. Its totient is φ = 11029395456.

The previous prime is 33142340303. The next prime is 33142340347. The reversal of 33142340304 is 40304324133.

33142340304 is a `hidden beast` number, since 3 + 3 + 14 + 2 + 340 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6687968400 + 26454371904 = 81780^2 + 162648^2 .

It is a super-2 number, since 2×331423403042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33142340303) 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, 99457 + ... + 276000.

Almost surely, 233142340304 is an apocalyptic number.

It is an amenable number.

33142340304 is an abundant number, since it is smaller than the sum of its proper divisors (59761738132).

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

33142340304 is a wasteful number, since it uses less digits than its factorization.

33142340304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376084 (or 376075 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 33142340304 its reverse (40304324133), we get a palindrome (73446664437).

The spelling of 33142340304 in words is "thirty-three billion, one hundred forty-two million, three hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 613 1226 1839 2452 3678 4904 5517 7356 9808 11034 14712 22068 29424 44136 88272 375457 750914 1126371 1501828 2252742 3003656 3379113 4505484 6007312 6758226 9010968 13516452 18021936 27032904 54065808 230155141 460310282 690465423 920620564 1380930846 1841241128 2071396269 2761861692 3682482256 4142792538 5523723384 8285585076 11047446768 16571170152 33142340304