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34157046 = 23711174349
BaseRepresentation
bin1000001001001…
…1000111110110
32101021100122210
42002103013312
532221011141
63220034250
7563221140
oct202230766
971240583
1034157046
111830a770
12b532986
1370cc191
144771c90
152eea916
hex20931f6

34157046 has 64 divisors (see below), whose sum is σ = 90201600. Its totient is φ = 8348160.

The previous prime is 34157033. The next prime is 34157051. The reversal of 34157046 is 64075143.

It is a super-2 number, since 2×341570462 = 2333407582892232, 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 31 ways as a sum of consecutive naturals, for example, 5680 + ... + 10028.

It is an arithmetic number, because the mean of its divisors is an integer number (1409400).

Almost surely, 234157046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34157046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45100800).

34157046 is an abundant number, since it is smaller than the sum of its proper divisors (56044554).

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

34157046 is a wasteful number, since it uses less digits than its factorization.

34157046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 34157046 is about 5844.4029635199. The cubic root of 34157046 is about 324.4592063490.

It can be divided in two parts, 34 and 157046, that added together give a triangular number (157080 = T560).

The spelling of 34157046 in words is "thirty-four million, one hundred fifty-seven thousand, forty-six".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 357 374 462 561 714 1122 1309 2618 3927 4349 7854 8698 13047 26094 30443 47839 60886 73933 91329 95678 143517 147866 182658 221799 287034 334873 443598 517531 669746 813263 1004619 1035062 1552593 1626526 2009238 2439789 3105186 4879578 5692841 11385682 17078523 34157046