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3124893408 = 253713357703
BaseRepresentation
bin1011101001000010…
…0001011011100000
322001210001000212220
42322100201123200
522344433042113
61234025151040
7140303104260
oct27220413340
98053030786
103124893408
111363a1473a
1273262b480
133aa532870
142190377a0
15134514523
hexba4216e0

3124893408 has 96 divisors (see below), whose sum is σ = 10095837696. Its totient is φ = 824145408.

The previous prime is 3124893389. The next prime is 3124893451. The reversal of 3124893408 is 8043984213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×31248934082 = 19529917622723708928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3124893408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170116 + ... + 187587.

It is an arithmetic number, because the mean of its divisors is an integer number (105164976).

Almost surely, 23124893408 is an apocalyptic number.

It is an amenable number.

3124893408 is an abundant number, since it is smaller than the sum of its proper divisors (6970944288).

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

3124893408 is a wasteful number, since it uses less digits than its factorization.

3124893408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357736 (or 357728 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3124893408 is about 55900.7460415333. The cubic root of 3124893408 is about 1461.9922461495.

The spelling of 3124893408 in words is "three billion, one hundred twenty-four million, eight hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 357703 715406 1073109 1430812 2146218 2503921 2861624 4292436 4650139 5007842 5723248 7511763 8584872 9300278 10015684 11446496 13950417 15023526 17169744 18600556 20031368 27900834 30047052 32550973 34339488 37201112 40062736 55801668 60094104 65101946 74402224 80125472 97652919 111603336 120188208 130203892 148804448 195305838 223206672 240376416 260407784 390611676 446413344 520815568 781223352 1041631136 1562446704 3124893408