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34484894820 = 223251459131311
BaseRepresentation
bin100000000111011101…
…011011110001100100
310022000022102011110200
4200013131123301210
51031111113113240
623501522550500
72330365524645
oct400735336144
9108008364420
1034484894820
1113696907982
126824b08430
1333375b040c
141951d416cc
15d6c731930
hex80775bc64

34484894820 has 72 divisors (see below), whose sum is σ = 104676673920. Its totient is φ = 9189599040.

The previous prime is 34484894809. The next prime is 34484894831. The reversal of 34484894820 is 2849848443.

34484894820 is a `hidden beast` number, since 3 + 4 + 4 + 84 + 89 + 482 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34484894809) and next prime (34484894831).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196965 + ... + 328275.

Almost surely, 234484894820 is an apocalyptic number.

34484894820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34484894820 is an abundant number, since it is smaller than the sum of its proper divisors (70191779100).

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

34484894820 is a wasteful number, since it uses less digits than its factorization.

34484894820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132785 (or 132780 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 34484894820 in words is "thirty-four billion, four hundred eighty-four million, eight hundred ninety-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1459 2918 4377 5836 7295 8754 13131 14590 17508 21885 26262 29180 43770 52524 65655 87540 131310 131311 262620 262622 393933 525244 656555 787866 1181799 1313110 1575732 1969665 2363598 2626220 3939330 4727196 5908995 7878660 11817990 23635980 191582749 383165498 574748247 766330996 957913745 1149496494 1724244741 1915827490 2298992988 2873741235 3448489482 3831654980 5747482470 6896978964 8621223705 11494964940 17242447410 34484894820