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3485924676 = 2232137448557
BaseRepresentation
bin1100111111000110…
…1111110101000100
322222221101022200100
43033301233311010
524114344042201
61333523244100
7152245604463
oct31761576504
98887338610
103485924676
111529793893
12813519630
1343727bb30
14250d769da
1515607b886
hexcfc6fd44

3485924676 has 36 divisors (see below), whose sum is σ = 9489462892. Its totient is φ = 1072592064.

The previous prime is 3485924657. The next prime is 3485924723. The reversal of 3485924676 is 6764295843.

3485924676 is a `hidden beast` number, since 3 + 4 + 8 + 592 + 46 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1041611076 + 2444313600 = 32274^2 + 49440^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3723811 + ... + 3724746.

Almost surely, 23485924676 is an apocalyptic number.

3485924676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3485924676 is an abundant number, since it is smaller than the sum of its proper divisors (6003538216).

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

3485924676 is a wasteful number, since it uses less digits than its factorization.

3485924676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448580 (or 7448575 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3485924676 is about 59041.7197920250. The cubic root of 3485924676 is about 1516.2564670540.

The spelling of 3485924676 in words is "three billion, four hundred eighty-five million, nine hundred twenty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 7448557 14897114 22345671 29794228 44691342 67037013 89382684 96831241 134074026 193662482 268148052 290493723 387324964 580987446 871481169 1161974892 1742962338 3485924676