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3142729332 = 22321011137649
BaseRepresentation
bin1011101101010010…
…0011111001110100
322010000121012011200
42323110203321310
522414014314312
61235503332500
7140610521121
oct27324437164
98100535150
103142729332
111372a97076
127385b1130
133b1138c72
1421b55b748
15135d890dc
hexbb523e74

3142729332 has 72 divisors (see below), whose sum is σ = 8094832200. Its totient is φ = 1027891200.

The previous prime is 3142729319. The next prime is 3142729349. The reversal of 3142729332 is 2339272413.

3142729332 is a `hidden beast` number, since 314 + 2 + 7 + 2 + 9 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16353936 + 3126375396 = 4044^2 + 55914^2 .

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 23 ways as a sum of consecutive naturals, for example, 407044 + ... + 414692.

It is an arithmetic number, because the mean of its divisors is an integer number (112428225).

Almost surely, 23142729332 is an apocalyptic number.

It is an amenable number.

3142729332 is an abundant number, since it is smaller than the sum of its proper divisors (4952102868).

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

3142729332 is a wasteful number, since it uses less digits than its factorization.

3142729332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7873 (or 7868 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3142729332 is about 56060.0511237726. The cubic root of 3142729332 is about 1464.7685038431.

The spelling of 3142729332 in words is "three billion, one hundred forty-two million, seven hundred twenty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 113 202 226 303 339 404 452 606 678 909 1017 1212 1356 1818 2034 3636 4068 7649 11413 15298 22826 22947 30596 34239 45652 45894 68478 68841 91788 102717 136956 137682 205434 275364 410868 772549 864337 1545098 1728674 2317647 2593011 3090196 3457348 4635294 5186022 6952941 7779033 9270588 10372044 13905882 15558066 27811764 31116132 87298037 174596074 261894111 349192148 523788222 785682333 1047576444 1571364666 3142729332