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3123394272 = 253291911801
BaseRepresentation
bin1011101000101011…
…0011011011100000
322001200012212110100
42322022303123200
522344042104042
61233533102400
7140254261515
oct27212633340
98050185410
103123394272
111363090389
12732027a00
133aa1293bb
14218b6730c
1513431a24c
hexba2b36e0

3123394272 has 72 divisors (see below), whose sum is σ = 8892570960. Its totient is φ = 1039910400.

The previous prime is 3123394231. The next prime is 3123394289. The reversal of 3123394272 is 2724933213.

3123394272 is a `hidden beast` number, since 312 + 339 + 4 + 2 + 7 + 2 = 666.

3123394272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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, 258772 + ... + 270572.

It is an arithmetic number, because the mean of its divisors is an integer number (123507930).

Almost surely, 23123394272 is an apocalyptic number.

3123394272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3123394272 is an abundant number, since it is smaller than the sum of its proper divisors (5769176688).

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

3123394272 is a wasteful number, since it uses less digits than its factorization.

3123394272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12736 (or 12725 counting only the distinct ones).

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

The square root of 3123394272 is about 55887.3355242491. The cubic root of 3123394272 is about 1461.7584167564.

The spelling of 3123394272 in words is "three billion, one hundred twenty-three million, three hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 919 1838 2757 3676 5514 7352 8271 11028 11801 14704 16542 22056 23602 29408 33084 35403 44112 47204 66168 70806 88224 94408 106209 132336 141612 188816 212418 264672 283224 377632 424836 566448 849672 1132896 1699344 3398688 10845119 21690238 32535357 43380476 65070714 86760952 97606071 130141428 173521904 195212142 260282856 347043808 390424284 520565712 780848568 1041131424 1561697136 3123394272