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34320468 = 22371353593
BaseRepresentation
bin1000001011101…
…1000001010100
32101120122211110
42002323001110
532241223333
63223335020
7564501450
oct202730124
971518743
1034320468
1118411526
12b5b1470
137158690
1447b5660
15302e063
hex20bb054

34320468 has 96 divisors (see below), whose sum is σ = 100590336. Its totient is φ = 8865792.

The previous prime is 34320463. The next prime is 34320487. The reversal of 34320468 is 86402343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34320463) 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, 57580 + ... + 58172.

It is an arithmetic number, because the mean of its divisors is an integer number (1047816).

Almost surely, 234320468 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 34320468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50295168).

34320468 is an abundant number, since it is smaller than the sum of its proper divisors (66269868).

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

34320468 is a wasteful number, since it uses less digits than its factorization.

34320468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 34320468 is about 5858.3673493560. The cubic root of 34320468 is about 324.9758341006.

The spelling of 34320468 in words is "thirty-four million, three hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 53 78 84 91 106 156 159 182 212 273 318 364 371 546 593 636 689 742 1092 1113 1186 1378 1484 1779 2067 2226 2372 2756 3558 4134 4151 4452 4823 7116 7709 8268 8302 9646 12453 14469 15418 16604 19292 23127 24906 28938 30836 31429 46254 49812 53963 57876 62858 92508 94287 107926 125716 161889 188574 215852 220003 323778 377148 408577 440006 647556 660009 817154 880012 1225731 1320018 1634308 2451462 2640036 2860039 4902924 5720078 8580117 11440156 17160234 34320468