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3157230240 = 253252395327
BaseRepresentation
bin1011110000101111…
…1000001010100000
322011000212220200100
42330023320022200
522431222331430
61241142222400
7141145004613
oct27413701240
98130786610
103157230240
1113801a089a
12741424a00
133b4145398
1421d45417a
151372a0960
hexbc2f82a0

3157230240 has 144 divisors (see below), whose sum is σ = 11242603008. Its totient is φ = 805314048.

The previous prime is 3157230229. The next prime is 3157230257. The reversal of 3157230240 is 420327513.

3157230240 is a `hidden beast` number, since 315 + 7 + 2 + 302 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 14544 + ... + 80783.

It is an arithmetic number, because the mean of its divisors is an integer number (78073632).

Almost surely, 23157230240 is an apocalyptic number.

3157230240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3157230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621301504).

3157230240 is an abundant number, since it is smaller than the sum of its proper divisors (8085372768).

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

3157230240 is a wasteful number, since it uses less digits than its factorization.

3157230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95371 (or 95360 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3157230240 is about 56189.2359798565. The cubic root of 3157230240 is about 1467.0179167911.

Adding to 3157230240 its reverse (420327513), we get a palindrome (3577557753).

The spelling of 3157230240 in words is "three billion, one hundred fifty-seven million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 95327 190654 285981 381308 476635 571962 762616 857943 953270 1143924 1429905 1525232 1715886 1906540 2192521 2287848 2859810 3050464 3431772 3813080 4289715 4385042 4575696 5719620 6577563 6863544 7626160 8579430 8770084 9151392 10962605 11439240 13155126 13727088 15252320 17158860 17540168 19732689 21925210 22878480 26310252 27454176 32887815 34317720 35080336 39465378 43850420 45756960 52620504 65775630 68635440 70160672 78930756 87700840 98663445 105241008 131551260 137270880 157861512 175401680 197326890 210482016 263102520 315723024 350803360 394653780 526205040 631446048 789307560 1052410080 1578615120 3157230240