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34922664 = 233477699
BaseRepresentation
bin1000010100111…
…0000010101000
32102201020220000
42011032002220
532420011124
63244303000
7602560230
oct205160250
972636800
1034922664
1118792a07
12b841a60
1373097ca
1448d0cc0
1530ec6c9
hex214e0a8

34922664 has 80 divisors (see below), whose sum is σ = 111804000. Its totient is φ = 9976608.

The previous prime is 34922653. The next prime is 34922687. The reversal of 34922664 is 46622943.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 687 + ... + 8385.

It is an arithmetic number, because the mean of its divisors is an integer number (1397550).

Almost surely, 234922664 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 34922664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55902000).

34922664 is an abundant number, since it is smaller than the sum of its proper divisors (76881336).

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

34922664 is a wasteful number, since it uses less digits than its factorization.

34922664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7724 (or 7711 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 34922664 is about 5909.5400836275. The cubic root of 34922664 is about 326.8655284142.

The spelling of 34922664 in words is "thirty-four million, nine hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 7699 15398 23097 30796 46194 53893 61592 69291 92388 107786 138582 161679 184776 207873 215572 277164 323358 415746 431144 485037 554328 623619 646716 831492 970074 1247238 1293432 1455111 1662984 1940148 2494476 2910222 3880296 4365333 4988952 5820444 8730666 11640888 17461332 34922664