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34352904 = 23353113239
BaseRepresentation
bin1000001100001…
…0111100001000
32101122022022210
42003002330020
532243243104
63224145120
7564665145
oct203027410
971568283
1034352904
1118433933
12b6081a0
13716a381
1447c33cc
153038989
hex20c2f08

34352904 has 64 divisors (see below), whose sum is σ = 88646400. Its totient is φ = 11088896.

The previous prime is 34352897. The next prime is 34352917. The reversal of 34352904 is 40925343.

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, 143617 + ... + 143855.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 234352904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34352904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44323200).

34352904 is an abundant number, since it is smaller than the sum of its proper divisors (54293496).

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

34352904 is a wasteful number, since it uses less digits than its factorization.

34352904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 34352904 is about 5861.1350436584. The cubic root of 34352904 is about 325.0781792200.

The spelling of 34352904 in words is "thirty-four million, three hundred fifty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 106 113 159 212 226 239 318 339 424 452 478 636 678 717 904 956 1272 1356 1434 1912 2712 2868 5736 5989 11978 12667 17967 23956 25334 27007 35934 38001 47912 50668 54014 71868 76002 81021 101336 108028 143736 152004 162042 216056 304008 324084 648168 1431371 2862742 4294113 5725484 8588226 11450968 17176452 34352904