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34399956 = 22319312157
BaseRepresentation
bin1000001100111…
…0011011010100
32101201200212110
42003032123110
532301244311
63225151020
7565252263
oct203163324
971650773
1034399956
1118466218
12b62b470
137185906
1447d65da
1530478a6
hex20ce6d4

34399956 has 72 divisors (see below), whose sum is σ = 87860640. Its totient is φ = 10445760.

The previous prime is 34399921. The next prime is 34399991. The reversal of 34399956 is 65999343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34399921) and next prime (34399991).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219030 + ... + 219186.

Almost surely, 234399956 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 34399956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43930320).

34399956 is an abundant number, since it is smaller than the sum of its proper divisors (53460684).

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

34399956 is a wasteful number, since it uses less digits than its factorization.

34399956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 212 counting only the distinct ones).

The product of its digits is 787320, while the sum is 48.

The square root of 34399956 is about 5865.1475684760. The cubic root of 34399956 is about 325.2265276732.

The spelling of 34399956 in words is "thirty-four million, three hundred ninety-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 157 186 228 314 372 471 589 628 942 961 1178 1767 1884 1922 2356 2883 2983 3534 3844 4867 5766 5966 7068 8949 9734 11532 11932 14601 17898 18259 19468 29202 35796 36518 54777 58404 73036 92473 109554 150877 184946 219108 277419 301754 369892 452631 554838 603508 905262 1109676 1810524 2866663 5733326 8599989 11466652 17199978 34399956