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34593420 = 22353671571
BaseRepresentation
bin1000001111110…
…1101010001100
32102002112020210
42003331222030
532323442140
63233242420
7600016311
oct203755214
972075223
1034593420
1118588604
12b703410
1372229a4
144846d08
153084d80
hex20fda8c

34593420 has 48 divisors (see below), whose sum is σ = 97187328. Its totient is φ = 9193920.

The previous prime is 34593407. The next prime is 34593431. The reversal of 34593420 is 2439543.

34593420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21235 + ... + 22805.

It is an arithmetic number, because the mean of its divisors is an integer number (2024736).

Almost surely, 234593420 is an apocalyptic number.

34593420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34593420 is an abundant number, since it is smaller than the sum of its proper divisors (62593908).

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

34593420 is a wasteful number, since it uses less digits than its factorization.

34593420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 34593420 is about 5881.6171245670. The cubic root of 34593420 is about 325.8350753470.

The spelling of 34593420 in words is "thirty-four million, five hundred ninety-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 367 734 1101 1468 1571 1835 2202 3142 3670 4404 4713 5505 6284 7340 7855 9426 11010 15710 18852 22020 23565 31420 47130 94260 576557 1153114 1729671 2306228 2882785 3459342 5765570 6918684 8648355 11531140 17296710 34593420