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34934240 = 2551123863
BaseRepresentation
bin1000010101000…
…0110111100000
32102201211202202
42011100313200
532420343430
63244432332
7602636045
oct205206740
972654682
1034934240
11187a0680
12b8486a8
137311b63
1448d51cc
153100d45
hex2150de0

34934240 has 96 divisors (see below), whose sum is σ = 94058496. Its totient is φ = 12136960.

The previous prime is 34934239. The next prime is 34934281. The reversal of 34934240 is 4243943.

It is a super-2 number, since 2×349342402 = 2440802248755200, which contains 22 as substring.

It is a congruent number.

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, 40049 + ... + 40911.

It is an arithmetic number, because the mean of its divisors is an integer number (979776).

Almost surely, 234934240 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 34934240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47029248).

34934240 is an abundant number, since it is smaller than the sum of its proper divisors (59124256).

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

34934240 is a wasteful number, since it uses less digits than its factorization.

34934240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 34934240 is about 5910.5194357180. The cubic root of 34934240 is about 326.9016403724.

The spelling of 34934240 in words is "thirty-four million, nine hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 863 880 920 1012 1265 1726 1760 1840 2024 2530 3452 3680 4048 4315 5060 6904 8096 8630 9493 10120 13808 17260 18986 19849 20240 27616 34520 37972 39698 40480 47465 69040 75944 79396 94930 99245 138080 151888 158792 189860 198490 218339 303776 317584 379720 396980 436678 635168 759440 793960 873356 1091695 1518880 1587920 1746712 2183390 3175840 3493424 4366780 6986848 8733560 17467120 34934240