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34271874 = 232741361
BaseRepresentation
bin1000001010111…
…1001010000010
32101111012011200
42002233022002
532233144444
63222322030
7564210000
oct202571202
971435150
1034271874
1118388a6a
12b589316
13713c520
1447a1a70
15301e969
hex20af282

34271874 has 120 divisors (see below), whose sum is σ = 94819452. Its totient is φ = 8890560.

The previous prime is 34271869. The next prime is 34271899. The reversal of 34271874 is 47817243.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26471025 + 7800849 = 5145^2 + 2793^2 .

It is a super-2 number, since 2×342718742 = 2349122694943752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 561804 + ... + 561864.

Almost surely, 234271874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34271874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47409726).

34271874 is an abundant number, since it is smaller than the sum of its proper divisors (60547578).

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

34271874 is a wasteful number, since it uses less digits than its factorization.

34271874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 34271874 is about 5854.2184790115. The cubic root of 34271874 is about 324.8223850010.

The spelling of 34271874 in words is "thirty-four million, two hundred seventy-one thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 61 63 78 91 98 117 122 126 147 182 183 234 273 294 343 366 427 441 546 549 637 686 793 819 854 882 1029 1098 1274 1281 1586 1638 1911 2058 2379 2401 2562 2989 3087 3822 3843 4459 4758 4802 5551 5733 5978 6174 7137 7203 7686 8918 8967 11102 11466 13377 14274 14406 16653 17934 20923 21609 26754 26901 31213 33306 38857 40131 41846 43218 49959 53802 62426 62769 77714 80262 93639 99918 116571 125538 146461 187278 188307 233142 271999 280917 292922 349713 376614 439383 543998 561834 699426 815997 878766 1318149 1631994 1903993 2447991 2636298 3807986 4895982 5711979 11423958 17135937 34271874