Search a number
-
+
33820408074 = 23431314332311
BaseRepresentation
bin11111011111110110…
…100111100100001010
310020022000001202000110
4133133312213210022
51023231011024244
623311544415150
72305046503545
oct373766474412
9106260052013
1033820408074
1113385814182
12667a4774b6
13325ca265ab
1418cb9ad85c
15d2e2269b9
hex7dfda790a

33820408074 has 64 divisors (see below), whose sum is σ = 69933523968. Its totient is φ = 10897286400.

The previous prime is 33820408067. The next prime is 33820408079. The reversal of 33820408074 is 47080402833.

It is a super-2 number, since 2×338204080742 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33820408079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14633379 + ... + 14635689.

It is an arithmetic number, because the mean of its divisors is an integer number (1092711312).

Almost surely, 233820408074 is an apocalyptic number.

33820408074 is an abundant number, since it is smaller than the sum of its proper divisors (36113115894).

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

33820408074 is a wasteful number, since it uses less digits than its factorization.

33820408074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923.

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 33820408074 in words is "thirty-three billion, eight hundred twenty million, four hundred eight thousand, seventy-four".

Divisors: 1 2 3 6 43 86 129 131 258 262 393 433 786 866 1299 2311 2598 4622 5633 6933 11266 13866 16899 18619 33798 37238 55857 56723 99373 111714 113446 170169 198746 298119 302741 340338 596238 605482 908223 1000663 1816446 2001326 2439089 3001989 4878178 6003978 7317267 13017863 14634534 26035726 39053589 43028509 78107178 86057018 129085527 131086853 258171054 262173706 393260559 786521118 5636734679 11273469358 16910204037 33820408074