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34520064 = 210317661
BaseRepresentation
bin1000001110101…
…1110000000000
32101221210121220
42003223300000
532314120224
63231515040
7566262405
oct203536000
971853556
1034520064
1118538487
12b688a80
1371c8497
1448282ac
15306d279
hex20ebc00

34520064 has 88 divisors (see below), whose sum is σ = 97568208. Its totient is φ = 10813440.

The previous prime is 34520041. The next prime is 34520071. The reversal of 34520064 is 46002543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51894 + ... + 52554.

Almost surely, 234520064 is an apocalyptic number.

34520064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48784104).

34520064 is an abundant number, since it is smaller than the sum of its proper divisors (63048144).

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

34520064 is a wasteful number, since it uses less digits than its factorization.

34520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34520064 is about 5875.3777750882. The cubic root of 34520064 is about 325.6045992183.

The spelling of 34520064 in words is "thirty-four million, five hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 661 768 816 1024 1088 1322 1536 1632 1983 2176 2644 3072 3264 3966 4352 5288 6528 7932 8704 10576 11237 13056 15864 17408 21152 22474 26112 31728 33711 42304 44948 52224 63456 67422 84608 89896 126912 134844 169216 179792 253824 269688 338432 359584 507648 539376 676864 719168 1015296 1078752 1438336 2030592 2157504 2876672 4315008 5753344 8630016 11506688 17260032 34520064