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3114087024 = 243235947809
BaseRepresentation
bin1011100110011101…
…0011001001110000
322001000201000022110
42321213103021300
522334201241044
61233001405320
7140112205626
oct27147231160
98030630273
103114087024
111358903744
1272aa99840
133a821ac59
14217823516
151335cc6b9
hexb99d3270

3114087024 has 80 divisors (see below), whose sum is σ = 8536953600. Its totient is φ = 976048128.

The previous prime is 3114087007. The next prime is 3114087059. The reversal of 3114087024 is 4207804113.

3114087024 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×31140870243 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3114086982 and 3114087000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41232 + ... + 89040.

It is an arithmetic number, because the mean of its divisors is an integer number (106711920).

Almost surely, 23114087024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114087024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268476800).

3114087024 is an abundant number, since it is smaller than the sum of its proper divisors (5422866576).

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

3114087024 is a wasteful number, since it uses less digits than its factorization.

3114087024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47902 (or 47896 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3114087024 is about 55804.0054476379. The cubic root of 3114087024 is about 1460.3050316566.

The spelling of 3114087024 in words is "three billion, one hundred fourteen million, eighty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 59 69 92 118 138 177 184 236 276 354 368 472 552 708 944 1104 1357 1416 2714 2832 4071 5428 8142 10856 16284 21712 32568 47809 65136 95618 143427 191236 286854 382472 573708 764944 1099607 1147416 2199214 2294832 2820731 3298821 4398428 5641462 6597642 8462193 8796856 11282924 13195284 16924386 17593712 22565848 26390568 33848772 45131696 52781136 64876813 67697544 129753626 135395088 194630439 259507252 389260878 519014504 778521756 1038029008 1557043512 3114087024