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34460706 = 23753113137
BaseRepresentation
bin1000001101110…
…1010000100010
32101211210012110
42003131100202
532310220311
63230340150
7565624350
oct203352042
971753173
1034460706
11184a7925
12b65a656
1371a7467
1448107d0
15305a8a6
hex20dd422

34460706 has 64 divisors (see below), whose sum is σ = 81554688. Its totient is φ = 9504768.

The previous prime is 34460681. The next prime is 34460707. The reversal of 34460706 is 60706443.

It is not an unprimeable number, because it can be changed into a prime (34460707) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251470 + ... + 251606.

It is an arithmetic number, because the mean of its divisors is an integer number (1274292).

Almost surely, 234460706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34460706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40777344).

34460706 is an abundant number, since it is smaller than the sum of its proper divisors (47093982).

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

34460706 is a wasteful number, since it uses less digits than its factorization.

34460706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315.

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 34460706 is about 5870.3241818489. The cubic root of 34460706 is about 325.4178640849.

The spelling of 34460706 in words is "thirty-four million, four hundred sixty thousand, seven hundred six".

Divisors: 1 2 3 6 7 14 21 42 53 106 113 137 159 226 274 318 339 371 411 678 742 791 822 959 1113 1582 1918 2226 2373 2877 4746 5754 5989 7261 11978 14522 15481 17967 21783 30962 35934 41923 43566 46443 50827 83846 92886 101654 108367 125769 152481 216734 251538 304962 325101 650202 820493 1640986 2461479 4922958 5743451 11486902 17230353 34460706