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34930480 = 2451333587
BaseRepresentation
bin1000010100111…
…1111100110000
32102201122121111
42011033330300
532420233410
63244403104
7602622064
oct205177460
972648544
1034930480
1118798872
12b846494
137310230
1448d3aa4
1530eeb8a
hex214ff30

34930480 has 40 divisors (see below), whose sum is σ = 87463152. Its totient is φ = 12897024.

The previous prime is 34930477. The next prime is 34930481. The reversal of 34930480 is 8403943.

34930480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (34930481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15754 + ... + 17833.

Almost surely, 234930480 is an apocalyptic number.

It is an amenable number.

34930480 is an abundant number, since it is smaller than the sum of its proper divisors (52532672).

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

34930480 is a wasteful number, since it uses less digits than its factorization.

34930480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33613 (or 33607 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 34930480 is about 5910.2013502080. The cubic root of 34930480 is about 326.8899117239.

The spelling of 34930480 in words is "thirty-four million, nine hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 33587 67174 134348 167935 268696 335870 436631 537392 671740 873262 1343480 1746524 2183155 2686960 3493048 4366310 6986096 8732620 17465240 34930480