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34934640 = 24351311197
BaseRepresentation
bin1000010101000…
…0111101110000
32102201212022120
42011100331300
532420402030
63244434240
7602640156
oct205207560
972655276
1034934640
11187a0a04
12b848980
1373120b0
1448d53d6
153101010
hex2150f70

34934640 has 80 divisors (see below), whose sum is σ = 116638368. Its totient is φ = 8598528.

The previous prime is 34934633. The next prime is 34934651. The reversal of 34934640 is 4643943.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 2479 + ... + 8718.

Almost surely, 234934640 is an apocalyptic number.

34934640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34934640 is an abundant number, since it is smaller than the sum of its proper divisors (81703728).

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

34934640 is a wasteful number, since it uses less digits than its factorization.

34934640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11226 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 34934640 is about 5910.5532735946. The cubic root of 34934640 is about 326.9028880515.

The spelling of 34934640 in words is "thirty-four million, nine hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 11197 22394 33591 44788 55985 67182 89576 111970 134364 145561 167955 179152 223940 268728 291122 335910 436683 447880 537456 582244 671820 727805 873366 895760 1164488 1343640 1455610 1746732 2183415 2328976 2687280 2911220 3493464 4366830 5822440 6986928 8733660 11644880 17467320 34934640