Search a number
-
+
34014522984 = 23313372946511
BaseRepresentation
bin11111101011011011…
…000110111001101000
310020210112022210121120
4133223123012321220
51024130204213414
623343121135240
72312624450331
oct375333067150
9106715283546
1034014522984
1113475347622
12671348a520
133290cccca0
14190969d288
15d412bc2a9
hex7eb6c6e68

34014522984 has 64 divisors (see below), whose sum is σ = 94052663040. Its totient is φ = 10183138560.

The previous prime is 34014522977. The next prime is 34014523003. The reversal of 34014522984 is 48922541043.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1461712 + ... + 1484799.

It is an arithmetic number, because the mean of its divisors is an integer number (1469572860).

Almost surely, 234014522984 is an apocalyptic number.

It is an amenable number.

34014522984 is an abundant number, since it is smaller than the sum of its proper divisors (60038140056).

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

34014522984 is a wasteful number, since it uses less digits than its factorization.

34014522984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946570 (or 2946566 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 34014522984 in words is "thirty-four billion, fourteen million, five hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 11544 2946511 5893022 8839533 11786044 17679066 23572088 35358132 38304643 70716264 76609286 109020907 114913929 153218572 218041814 229827858 306437144 327062721 436083628 459655716 654125442 872167256 919311432 1308250884 1417271791 2616501768 2834543582 4251815373 5669087164 8503630746 11338174328 17007261492 34014522984