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3140961264 = 243273116033
BaseRepresentation
bin1011101100110111…
…0100001111110000
322002220021100211200
42323031310033300
522413041230024
61235401411200
7140556505320
oct27315641760
98086240750
103140961264
111371a99761
12737a99b00
133b096a27c
1421b21b280
15135b3a2c9
hexbb3743f0

3140961264 has 60 divisors (see below), whose sum is σ = 10046093616. Its totient is φ = 897417216.

The previous prime is 3140961253. The next prime is 3140961289. The reversal of 3140961264 is 4621690413.

3140961264 is a `hidden beast` number, since 31 + 4 + 0 + 9 + 612 + 6 + 4 = 666.

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

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, 1557009 + ... + 1559024.

Almost surely, 23140961264 is an apocalyptic number.

It is an amenable number.

3140961264 is an abundant number, since it is smaller than the sum of its proper divisors (6905132352).

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

3140961264 is a wasteful number, since it uses less digits than its factorization.

3140961264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116054 (or 3116045 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3140961264 is about 56044.2794939858. The cubic root of 3140961264 is about 1464.4937642920.

The spelling of 3140961264 in words is "three billion, one hundred forty million, nine hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 3116033 6232066 9348099 12464132 18696198 21812231 24928264 28044297 37392396 43624462 49856528 56088594 65436693 74784792 87248924 112177188 130873386 149569584 174497848 196310079 224354376 261746772 348995696 392620158 448708752 523493544 785240316 1046987088 1570480632 3140961264