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3434820640 = 25521467629
BaseRepresentation
bin1100110010111011…
…0011010000100000
322212101012222010021
43030232303100200
524013303230030
61324500043224
7151055331226
oct31456632040
98771188107
103434820640
111502959649
127ba393514
134297c8064
14248272b16
1515183497a
hexccbb3420

3434820640 has 24 divisors (see below), whose sum is σ = 8114764140. Its totient is φ = 1373928192.

The previous prime is 3434820637. The next prime is 3434820643. The reversal of 3434820640 is 460284343.

It is an interprime number because it is at equal distance from previous prime (3434820637) and next prime (3434820643).

It can be written as a sum of positive squares in 2 ways, for example, as 3393295504 + 41525136 = 58252^2 + 6444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3434820596 and 3434820605.

It is not an unprimeable number, because it can be changed into a prime (3434820643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10733655 + ... + 10733974.

Almost surely, 23434820640 is an apocalyptic number.

It is an amenable number.

3434820640 is an abundant number, since it is smaller than the sum of its proper divisors (4679943500).

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

3434820640 is a wasteful number, since it uses less digits than its factorization.

3434820640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21467644 (or 21467636 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 3434820640 is about 58607.3428846591. The cubic root of 3434820640 is about 1508.8104661748.

The spelling of 3434820640 in words is "three billion, four hundred thirty-four million, eight hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 21467629 42935258 85870516 107338145 171741032 214676290 343482064 429352580 686964128 858705160 1717410320 3434820640