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34244496 = 243211131663
BaseRepresentation
bin1000001010100…
…0011110010000
32101102210121200
42002220132100
532231310441
63221551200
7564034116
oct202503620
971383550
1034244496
111836a440
12b575500
13712cc20
144795ab6
1530167b6
hex20a8790

34244496 has 120 divisors (see below), whose sum is σ = 112659456. Its totient is φ = 9573120.

The previous prime is 34244489. The next prime is 34244501. The reversal of 34244496 is 69444243.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34244496.

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, 19761 + ... + 21423.

Almost surely, 234244496 is an apocalyptic number.

34244496 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 34244496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56329728).

34244496 is an abundant number, since it is smaller than the sum of its proper divisors (78414960).

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

34244496 is a wasteful number, since it uses less digits than its factorization.

34244496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1692 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34244496 is about 5851.8796980116. The cubic root of 34244496 is about 324.7358674448.

The spelling of 34244496 in words is "thirty-four million, two hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1663 1716 1872 2288 2574 3326 3432 4989 5148 6652 6864 9978 10296 13304 14967 18293 19956 20592 21619 26608 29934 36586 39912 43238 54879 59868 64857 73172 79824 86476 109758 119736 129714 146344 164637 172952 194571 219516 237809 239472 259428 292688 329274 345904 389142 439032 475618 518856 658548 713427 778284 878064 951236 1037712 1317096 1426854 1556568 1902472 2140281 2634192 2853708 3113136 3804944 4280562 5707416 8561124 11414832 17122248 34244496