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3434131944 = 233315898759
BaseRepresentation
bin1100110010110000…
…1011000111101000
322212022220222102000
43030230023013220
524013114210234
61324433211000
7151046432325
oct31454130750
98768828360
103434131944
111502529181
127ba100a60
13429616749
14248133b4c
1515174a899
hexccb0b1e8

3434131944 has 32 divisors (see below), whose sum is σ = 9539256000. Its totient is φ = 1144710576.

The previous prime is 3434131933. The next prime is 3434131963. The reversal of 3434131944 is 4491314343.

3434131944 is a `hidden beast` number, since 3 + 434 + 131 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3434131899 and 3434131908.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7949164 + ... + 7949595.

It is an arithmetic number, because the mean of its divisors is an integer number (298101750).

Almost surely, 23434131944 is an apocalyptic number.

It is an amenable number.

3434131944 is an abundant number, since it is smaller than the sum of its proper divisors (6105124056).

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

3434131944 is a wasteful number, since it uses less digits than its factorization.

3434131944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15898774 (or 15898764 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3434131944 is about 58601.4670806116. The cubic root of 3434131944 is about 1508.7096184840.

The spelling of 3434131944 in words is "three billion, four hundred thirty-four million, one hundred thirty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 15898759 31797518 47696277 63595036 95392554 127190072 143088831 190785108 286177662 381570216 429266493 572355324 858532986 1144710648 1717065972 3434131944