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34804896 = 25374151
BaseRepresentation
bin1000010011000…
…1010010100000
32102111021100020
42010301102200
532402224041
63241553440
7601560000
oct204612240
972437306
1034804896
1118712485
12b7a5880
137298019
1448a0000
1530c7866
hex21314a0

34804896 has 120 divisors (see below), whose sum is σ = 107289504. Its totient is φ = 9878400.

The previous prime is 34804883. The next prime is 34804907. The reversal of 34804896 is 69840843.

It is a super-2 number, since 2×348048962 = 2422761571141632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230421 + ... + 230571.

Almost surely, 234804896 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 34804896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53644752).

34804896 is an abundant number, since it is smaller than the sum of its proper divisors (72484608).

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

34804896 is an equidigital number, since it uses as much as digits as its factorization.

34804896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 34804896 is about 5899.5674417706. The cubic root of 34804896 is about 326.4976903858.

The spelling of 34804896 in words is "thirty-four million, eight hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 151 168 196 224 294 302 336 343 392 453 588 604 672 686 784 906 1029 1057 1176 1208 1372 1568 1812 2058 2114 2352 2401 2416 2744 3171 3624 4116 4228 4704 4802 4832 5488 6342 7203 7248 7399 8232 8456 9604 10976 12684 14406 14496 14798 16464 16912 19208 22197 25368 28812 29596 32928 33824 38416 44394 50736 51793 57624 59192 76832 88788 101472 103586 115248 118384 155379 177576 207172 230496 236768 310758 355152 362551 414344 621516 710304 725102 828688 1087653 1243032 1450204 1657376 2175306 2486064 2900408 4350612 4972128 5800816 8701224 11601632 17402448 34804896