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34078860 = 22335223283
BaseRepresentation
bin1000001000000…
…0000010001100
32101010101102000
42002000002030
532211010420
63214232300
7562444164
oct202000214
971111360
1034078860
1118266a52
12b4b5690
1370a270a
1447515a4
152ed2690
hex208008c

34078860 has 96 divisors (see below), whose sum is σ = 106874880. Its totient is φ = 9014976.

The previous prime is 34078843. The next prime is 34078871. The reversal of 34078860 is 6887043.

It is a super-2 number, since 2×340788602 = 2322737397799200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120279 + ... + 120561.

It is an arithmetic number, because the mean of its divisors is an integer number (1113280).

Almost surely, 234078860 is an apocalyptic number.

34078860 is a gapful number since it is divisible by the number (30) 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 34078860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53437440).

34078860 is an abundant number, since it is smaller than the sum of its proper divisors (72796020).

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

34078860 is a wasteful number, since it uses less digits than its factorization.

34078860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 34078860 is about 5837.7101675229. The cubic root of 34078860 is about 324.2114531894.

The spelling of 34078860 in words is "thirty-four million, seventy-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 223 270 283 446 540 566 669 849 892 1115 1132 1338 1415 1698 2007 2230 2547 2676 2830 3345 3396 4014 4245 4460 5094 5660 6021 6690 7641 8028 8490 10035 10188 12042 12735 13380 15282 16980 20070 24084 25470 30105 30564 38205 40140 50940 60210 63109 76410 120420 126218 152820 189327 252436 315545 378654 567981 631090 757308 946635 1135962 1262180 1703943 1893270 2271924 2839905 3407886 3786540 5679810 6815772 8519715 11359620 17039430 34078860