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34315104 = 2532711319
BaseRepresentation
bin1000001011100…
…1101101100000
32101120101110210
42002321231200
532241040404
63223254120
7564450015
oct202715540
971511423
1034315104
111840849a
12b5aa340
1371560c5
1447b370c
15302c689
hex20b9b60

34315104 has 48 divisors (see below), whose sum is σ = 90478080. Its totient is φ = 11387520.

The previous prime is 34315097. The next prime is 34315111. The reversal of 34315104 is 40151343.

It is an interprime number because it is at equal distance from previous prime (34315097) and next prime (34315111).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 25357 + ... + 26675.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 234315104 is an apocalyptic number.

It is an amenable number.

34315104 is an abundant number, since it is smaller than the sum of its proper divisors (56162976).

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

34315104 is a wasteful number, since it uses less digits than its factorization.

34315104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 34315104 is about 5857.9095247366. The cubic root of 34315104 is about 324.9589028902.

Adding to 34315104 its reverse (40151343), we get a palindrome (74466447).

The spelling of 34315104 in words is "thirty-four million, three hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 542 813 1084 1319 1626 2168 2638 3252 3957 4336 5276 6504 7914 8672 10552 13008 15828 21104 26016 31656 42208 63312 126624 357449 714898 1072347 1429796 2144694 2859592 4289388 5719184 8578776 11438368 17157552 34315104