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34412220420 = 22351733737471
BaseRepresentation
bin100000000011001000…
…001101000000000100
310021211020122220221020
4200003020031000010
51030434012023140
623450405151140
72325524022144
oct400310150004
9107736586836
1034412220420
111365988a596
1268046bb4b0
133325516506
141946424924
15d661786d0
hex80320d004

34412220420 has 48 divisors (see below), whose sum is σ = 102022115328. Its totient is φ = 8636792320.

The previous prime is 34412220419. The next prime is 34412220449. The reversal of 34412220420 is 2402221443.

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, 16867716 + ... + 16869755.

It is an arithmetic number, because the mean of its divisors is an integer number (2125460736).

Almost surely, 234412220420 is an apocalyptic number.

34412220420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34412220420 is an abundant number, since it is smaller than the sum of its proper divisors (67609894908).

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

34412220420 is a wasteful number, since it uses less digits than its factorization.

34412220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33737500 (or 33737498 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34412220420 its reverse (2402221443), we get a palindrome (36814441863).

The spelling of 34412220420 in words is "thirty-four billion, four hundred twelve million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 33737471 67474942 101212413 134949884 168687355 202424826 337374710 404849652 506062065 573537007 674749420 1012124130 1147074014 1720611021 2024248260 2294148028 2867685035 3441222042 5735370070 6882444084 8603055105 11470740140 17206110210 34412220420