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34379496 = 23323173211
BaseRepresentation
bin1000001100100…
…1011011101000
32101200122210200
42003021123220
532300120441
63224512200
7565135524
oct203113350
971618720
1034379496
1118451908
12b61b660
1371794c8
1447ccd84
1530417b6
hex20c96e8

34379496 has 96 divisors (see below), whose sum is σ = 97893120. Its totient is φ = 10886400.

The previous prime is 34379483. The next prime is 34379519. The reversal of 34379496 is 69497343.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 162831 + ... + 163041.

It is an arithmetic number, because the mean of its divisors is an integer number (1019720).

Almost surely, 234379496 is an apocalyptic number.

34379496 is a gapful number since it is divisible by the number (36) 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 34379496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48946560).

34379496 is an abundant number, since it is smaller than the sum of its proper divisors (63513624).

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

34379496 is a wasteful number, since it uses less digits than its factorization.

34379496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 320 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 34379496 is about 5863.4031074113. The cubic root of 34379496 is about 325.1620367534.

The spelling of 34379496 in words is "thirty-four million, three hundred seventy-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 73 93 124 146 186 211 219 248 279 292 372 422 438 558 584 633 657 744 844 876 1116 1266 1314 1688 1752 1899 2232 2263 2532 2628 3798 4526 5064 5256 6541 6789 7596 9052 13082 13578 15192 15403 18104 19623 20367 26164 27156 30806 39246 40734 46209 52328 54312 58869 61612 78492 81468 92418 117738 123224 138627 156984 162936 184836 235476 277254 369672 470952 477493 554508 954986 1109016 1432479 1909972 2864958 3819944 4297437 5729916 8594874 11459832 17189748 34379496