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3234052944 = 243297231533
BaseRepresentation
bin1100000011000011…
…1011101101010000
322100101102220121200
43000300323231100
523110404143234
61252524551200
7143066665533
oct30060735520
98311386550
103234052944
11140a5a1931
127630b2500
133c70324c5
14229730a1a
1513ddc7d99
hexc0c3bb50

3234052944 has 60 divisors (see below), whose sum is σ = 9144203796. Its totient is φ = 1066899456.

The previous prime is 3234052933. The next prime is 3234052961. The reversal of 3234052944 is 4492504323.

3234052944 is a `hidden beast` number, since 323 + 40 + 5 + 294 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 570254400 + 2663798544 = 23880^2 + 51612^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3234052899 and 3234052908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101799 + ... + 129734.

Almost surely, 23234052944 is an apocalyptic number.

It is an amenable number.

3234052944 is an abundant number, since it is smaller than the sum of its proper divisors (5910150852).

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

3234052944 is a wasteful number, since it uses less digits than its factorization.

3234052944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231644 (or 231635 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3234052944 is about 56868.7343273965. The cubic root of 3234052944 is about 1478.8213381719.

The spelling of 3234052944 in words is "three billion, two hundred thirty-four million, fifty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 231533 463066 694599 926132 1389198 1852264 2083797 2778396 3704528 4167594 5556792 8335188 11113584 16670376 22458701 33340752 44917402 67376103 89834804 134752206 179669608 202128309 269504412 359339216 404256618 539008824 808513236 1078017648 1617026472 3234052944