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34421820 = 22355631019
BaseRepresentation
bin1000001101001…
…1110000111100
32101202210212020
42003103300330
532302444240
63225440140
7565403106
oct203236074
971683766
1034421820
1118480694
12b640050
137192854
144800576
15304e0d0
hex20d3c3c

34421820 has 48 divisors (see below), whose sum is σ = 96647040. Its totient is φ = 9153856.

The previous prime is 34421819. The next prime is 34421833. The reversal of 34421820 is 2812443.

It is a super-2 number, since 2×344218202 = 2369723384224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33271 + ... + 34289.

It is an arithmetic number, because the mean of its divisors is an integer number (2013480).

Almost surely, 234421820 is an apocalyptic number.

34421820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34421820 is an abundant number, since it is smaller than the sum of its proper divisors (62225220).

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

34421820 is a wasteful number, since it uses less digits than its factorization.

34421820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 34421820 is about 5867.0111641278. The cubic root of 34421820 is about 325.2954158122.

The spelling of 34421820 in words is "thirty-four million, four hundred twenty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 563 1019 1126 1689 2038 2252 2815 3057 3378 4076 5095 5630 6114 6756 8445 10190 11260 12228 15285 16890 20380 30570 33780 61140 573697 1147394 1721091 2294788 2868485 3442182 5736970 6884364 8605455 11473940 17210910 34421820