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34626984 = 2337712903
BaseRepresentation
bin1000010000010…
…1110110101000
32102011020021220
42010011312220
532331030414
63234102040
7600216210
oct204056650
972136256
1034626984
1118600847
12b71a920
137235052
144855240
15308eca9
hex2105da8

34626984 has 64 divisors (see below), whose sum is σ = 100362240. Its totient is φ = 9750720.

The previous prime is 34626979. The next prime is 34627027. The reversal of 34626984 is 48962643.

It is a happy number.

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

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, 10477 + ... + 13379.

It is an arithmetic number, because the mean of its divisors is an integer number (1568160).

Almost surely, 234626984 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 34626984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50181120).

34626984 is an abundant number, since it is smaller than the sum of its proper divisors (65735256).

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

34626984 is a wasteful number, since it uses less digits than its factorization.

34626984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2986 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 34626984 is about 5884.4697297208. The cubic root of 34626984 is about 325.9404209437.

The spelling of 34626984 in words is "thirty-four million, six hundred twenty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2903 2982 3976 5806 5964 8709 11612 11928 17418 20321 23224 34836 40642 60963 69672 81284 121926 162568 206113 243852 412226 487704 618339 824452 1236678 1442791 1648904 2473356 2885582 4328373 4946712 5771164 8656746 11542328 17313492 34626984