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34225896 = 23317149563
BaseRepresentation
bin1000001010001…
…1111011101000
32101101212002210
42002203323220
532230212041
63221325120
7563625645
oct202437350
971355083
1034225896
1118357471
12b5667a0
137124613
14478cdcc
153011016
hex20a3ee8

34225896 has 64 divisors (see below), whose sum is σ = 91368000. Its totient is φ = 10646528.

The previous prime is 34225889. The next prime is 34225903. The reversal of 34225896 is 69852243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34225889) and next prime (34225903).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60511 + ... + 61073.

It is an arithmetic number, because the mean of its divisors is an integer number (1427625).

Almost surely, 234225896 is an apocalyptic number.

34225896 is the 3378-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34225896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45684000).

34225896 is an abundant number, since it is smaller than the sum of its proper divisors (57142104).

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

34225896 is a wasteful number, since it uses less digits than its factorization.

34225896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 734 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 34225896 is about 5850.2902492099. The cubic root of 34225896 is about 324.6770630457.

The spelling of 34225896 in words is "thirty-four million, two hundred twenty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 149 204 298 408 447 563 596 894 1126 1192 1689 1788 2252 2533 3378 3576 4504 5066 6756 7599 9571 10132 13512 15198 19142 20264 28713 30396 38284 57426 60792 76568 83887 114852 167774 229704 251661 335548 503322 671096 1006644 1426079 2013288 2852158 4278237 5704316 8556474 11408632 17112948 34225896