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34413808 = 241113389
BaseRepresentation
bin1000001101000…
…1110011110000
32101202101212111
42003101303300
532302220213
63225335104
7565340542
oct203216360
971671774
1034413808
1118475670
12b637494
13718c000
1447db692
15304ba3d
hex20d1cf0

34413808 has 80 divisors (see below), whose sum is σ = 79682400. Its totient is φ = 14277120.

The previous prime is 34413787. The next prime is 34413809. The reversal of 34413808 is 80831443.

It is a self number, because there is not a number n which added to its sum of digits gives 34413808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34413809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386628 + ... + 386716.

It is an arithmetic number, because the mean of its divisors is an integer number (996030).

Almost surely, 234413808 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 34413808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39841200).

34413808 is an abundant number, since it is smaller than the sum of its proper divisors (45268592).

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

34413808 is a wasteful number, since it uses less digits than its factorization.

34413808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 34413808 is about 5866.3283235769. The cubic root of 34413808 is about 325.2701753386.

The spelling of 34413808 in words is "thirty-four million, four hundred thirteen thousand, eight hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 89 104 143 169 176 178 208 286 338 356 572 676 712 979 1144 1157 1352 1424 1859 1958 2197 2288 2314 2704 3718 3916 4394 4628 7436 7832 8788 9256 12727 14872 15041 15664 17576 18512 24167 25454 29744 30082 35152 48334 50908 60164 96668 101816 120328 165451 193336 195533 203632 240656 330902 386672 391066 661804 782132 1323608 1564264 2150863 2647216 3128528 4301726 8603452 17206904 34413808