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34079472 = 2432733809
BaseRepresentation
bin1000001000000…
…0001011110000
32101010102020200
42002000023300
532211020342
63214235200
7562446030
oct202001360
971112220
1034079472
1118267459
12b4b5b00
1370a2a8b
1447518c0
152ed294c
hex20802f0

34079472 has 60 divisors (see below), whose sum is σ = 109003440. Its totient is φ = 9736704.

The previous prime is 34079471. The next prime is 34079473. The reversal of 34079472 is 27497043.

It is an interprime number because it is at equal distance from previous prime (34079471) and next prime (34079473).

It is a super-2 number, since 2×340794722 = 2322820823597568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34079471) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15897 + ... + 17912.

It is an arithmetic number, because the mean of its divisors is an integer number (1816724).

Almost surely, 234079472 is an apocalyptic number.

It is an amenable number.

34079472 is an abundant number, since it is smaller than the sum of its proper divisors (74923968).

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

34079472 is a wasteful number, since it uses less digits than its factorization.

34079472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33830 (or 33821 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 34079472 is about 5837.7625851006. The cubic root of 34079472 is about 324.2133939451.

The spelling of 34079472 in words is "thirty-four million, seventy-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 33809 67618 101427 135236 202854 236663 270472 304281 405708 473326 540944 608562 709989 811416 946652 1217124 1419978 1622832 1893304 2129967 2434248 2839956 3786608 4259934 4868496 5679912 8519868 11359824 17039736 34079472