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34959468 = 223191071433
BaseRepresentation
bin1000010101011…
…1000001101100
32102210010101010
42011113001230
532422200333
63245145220
7603102435
oct205270154
972703333
1034959468
1118808625
12b85b210
13732049b
14490048c
153108563
hex215706c

34959468 has 48 divisors (see below), whose sum is σ = 86728320. Its totient is φ = 10929024.

The previous prime is 34959451. The next prime is 34959469. The reversal of 34959468 is 86495943.

It is not an unprimeable number, because it can be changed into a prime (34959469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23680 + ... + 25112.

It is an arithmetic number, because the mean of its divisors is an integer number (1806840).

Almost surely, 234959468 is an apocalyptic number.

34959468 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34959468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43364160).

34959468 is an abundant number, since it is smaller than the sum of its proper divisors (51768852).

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

34959468 is a wasteful number, since it uses less digits than its factorization.

34959468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1564 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 34959468 is about 5912.6532115456. The cubic root of 34959468 is about 326.9803128549.

The spelling of 34959468 in words is "thirty-four million, nine hundred fifty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 107 114 214 228 321 428 642 1284 1433 2033 2866 4066 4299 5732 6099 8132 8598 12198 17196 24396 27227 54454 81681 108908 153331 163362 306662 326724 459993 613324 919986 1839972 2913289 5826578 8739867 11653156 17479734 34959468