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34926804 = 22321189991
BaseRepresentation
bin1000010100111…
…1000011010100
32102201110120100
42011033003110
532420124204
63244334100
7602605263
oct205170324
972643510
1034926804
1118796030
12b844330
13730b663
1448d25da
1530eda39
hex214f0d4

34926804 has 72 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 10454400.

The previous prime is 34926803. The next prime is 34926821. The reversal of 34926804 is 40862943.

It is a happy number.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34926803) 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 23 ways as a sum of consecutive naturals, for example, 34749 + ... + 35739.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 234926804 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 34926804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

34926804 is an abundant number, since it is smaller than the sum of its proper divisors (62566956).

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

34926804 is a wasteful number, since it uses less digits than its factorization.

34926804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34926804 is about 5909.8903543128. The cubic root of 34926804 is about 326.8784442847.

It can be divided in two parts, 3492 and 6804, that added together give a triangular number (10296 = T143).

The spelling of 34926804 in words is "thirty-four million, nine hundred twenty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 356 396 534 801 979 991 1068 1602 1958 1982 2937 2973 3204 3916 3964 5874 5946 8811 8919 10901 11748 11892 17622 17838 21802 32703 35244 35676 43604 65406 88199 98109 130812 176398 196218 264597 352796 392436 529194 793791 970189 1058388 1587582 1940378 2910567 3175164 3880756 5821134 8731701 11642268 17463402 34926804