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34014672 = 24321991187
BaseRepresentation
bin1000000111000…
…0010111010000
32101000010100200
42001300113100
532201432142
63213015200
7562056066
oct201602720
971003320
1034014672
11182227aa
12b484500
13707c433
144736036
152ebd64c
hex20705d0

34014672 has 60 divisors (see below), whose sum is σ = 95752800. Its totient is φ = 11271744.

The previous prime is 34014647. The next prime is 34014683. The reversal of 34014672 is 27641043.

It is a super-2 number, since 2×340146722 = 2313995822535168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28063 + ... + 29249.

It is an arithmetic number, because the mean of its divisors is an integer number (1595880).

Almost surely, 234014672 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 34014672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47876400).

34014672 is an abundant number, since it is smaller than the sum of its proper divisors (61738128).

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

34014672 is a wasteful number, since it uses less digits than its factorization.

34014672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34014672 is about 5832.2098727669. The cubic root of 34014672 is about 324.0077730188.

The spelling of 34014672 in words is "thirty-four million, fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1187 1194 1592 1791 2374 2388 3184 3561 3582 4748 4776 7122 7164 9496 9552 10683 14244 14328 18992 21366 28488 28656 42732 56976 85464 170928 236213 472426 708639 944852 1417278 1889704 2125917 2834556 3779408 4251834 5669112 8503668 11338224 17007336 34014672