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34157016 = 2332538951
BaseRepresentation
bin1000001001001…
…1000111011000
32101021100121200
42002103013120
532221011031
63220034200
7563221065
oct202230730
971240550
1034157016
111830a743
12b532960
1370cc16a
144771c6c
152eea8e6
hex20931d8

34157016 has 48 divisors (see below), whose sum is σ = 94264560. Its totient is φ = 11169600.

The previous prime is 34156987. The next prime is 34157021. The reversal of 34157016 is 61075143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 660 + ... + 8291.

It is an arithmetic number, because the mean of its divisors is an integer number (1963845).

Almost surely, 234157016 is an apocalyptic number.

34157016 is a gapful number since it is divisible by the number (36) 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 34157016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47132280).

34157016 is an abundant number, since it is smaller than the sum of its proper divisors (60107544).

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

34157016 is a wasteful number, since it uses less digits than its factorization.

34157016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9016 (or 9009 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 34157016 is about 5844.4003969612. The cubic root of 34157016 is about 324.4591113585.

The spelling of 34157016 in words is "thirty-four million, one hundred fifty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 8951 17902 26853 35804 53706 71608 80559 107412 161118 214824 322236 474403 644472 948806 1423209 1897612 2846418 3795224 4269627 5692836 8539254 11385672 17078508 34157016