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34157424 = 2437277367
BaseRepresentation
bin1000001001001…
…1001101110000
32101021101011210
42002103031300
532221014144
63220040120
7563222220
oct202231560
971241153
1034157424
111830aa84
12b533040
1370cc3c2
144772080
152eeaab9
hex2093370

34157424 has 80 divisors (see below), whose sum is σ = 101485568. Its totient is φ = 9697536.

The previous prime is 34157423. The next prime is 34157429. The reversal of 34157424 is 42475143.

It is a super-2 number, since 2×341574242 = 2333459228631552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34157391 and 34157400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34157423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92889 + ... + 93255.

Almost surely, 234157424 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 34157424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50742784).

34157424 is an abundant number, since it is smaller than the sum of its proper divisors (67328144).

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

34157424 is a wasteful number, since it uses less digits than its factorization.

34157424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 34157424 is about 5844.4353020630. The cubic root of 34157424 is about 324.4604032238.

The spelling of 34157424 in words is "thirty-four million, one hundred fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 277 336 367 554 734 831 1101 1108 1468 1662 1939 2202 2216 2569 2936 3324 3878 4404 4432 5138 5817 5872 6648 7707 7756 8808 10276 11634 13296 15414 15512 17616 20552 23268 30828 31024 41104 46536 61656 93072 101659 123312 203318 304977 406636 609954 711613 813272 1219908 1423226 1626544 2134839 2439816 2846452 4269678 4879632 5692904 8539356 11385808 17078712 34157424