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34679424 = 273136947
BaseRepresentation
bin1000010001001…
…0101010000000
32102020220020010
42010102222000
532334220144
63235144520
7600525123
oct204225200
972226203
1034679424
111863718a
12b745140
137252b90
14486a3ba
1530a05b9
hex2112a80

34679424 has 64 divisors (see below), whose sum is σ = 99217440. Its totient is φ = 10669056.

The previous prime is 34679417. The next prime is 34679441. The reversal of 34679424 is 42497643.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1519 + ... + 8465.

Almost surely, 234679424 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 34679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49608720).

34679424 is an abundant number, since it is smaller than the sum of its proper divisors (64538016).

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

34679424 is a wasteful number, since it uses less digits than its factorization.

34679424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6965 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 34679424 is about 5888.9238405671. The cubic root of 34679424 is about 326.1048754876.

The spelling of 34679424 in words is "thirty-four million, six hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 6947 13894 20841 27788 41682 55576 83364 90311 111152 166728 180622 222304 270933 333456 361244 444608 541866 666912 722488 889216 1083732 1333824 1444976 2167464 2667648 2889952 4334928 5779904 8669856 11559808 17339712 34679424