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3245142810 = 2357131962563
BaseRepresentation
bin1100000101101100…
…1111001100011010
322101011022100001110
43001123033030122
523121224032220
61254002401150
7143263154520
oct30133171432
98334270043
103245142810
111415886908
127669601b6
133c9416160
1422adba310
1513ed68be0
hexc16cf31a

3245142810 has 128 divisors (see below), whose sum is σ = 10090321920. Its totient is φ = 648642816.

The previous prime is 3245142799. The next prime is 3245142811. The reversal of 3245142810 is 182415423.

3245142810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32451428102 = 21061903714589392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3245142811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20589 + ... + 83151.

It is an arithmetic number, because the mean of its divisors is an integer number (78830640).

Almost surely, 23245142810 is an apocalyptic number.

3245142810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3245142810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045160960).

3245142810 is an abundant number, since it is smaller than the sum of its proper divisors (6845179110).

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

3245142810 is a wasteful number, since it uses less digits than its factorization.

3245142810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62612.

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3245142810 is about 56966.1549518659. The cubic root of 3245142810 is about 1480.5097480163.

The spelling of 3245142810 in words is "three billion, two hundred forty-five million, one hundred forty-two thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 273 285 390 399 455 494 546 570 665 741 798 910 1235 1330 1365 1482 1729 1995 2470 2730 3458 3705 3990 5187 7410 8645 10374 17290 25935 51870 62563 125126 187689 312815 375378 437941 625630 813319 875882 938445 1188697 1313823 1626638 1876890 2189705 2377394 2439957 2627646 3566091 4066595 4379410 4879914 5693233 5943485 6569115 7132182 8133190 8320879 11386466 11886970 12199785 13138230 15453061 16641758 17079699 17830455 24399570 24962637 28466165 30906122 34159398 35660910 41604395 46359183 49925274 56932330 77265305 83208790 85398495 92718366 108171427 124813185 154530610 170796990 216342854 231795915 249626370 324514281 463591830 540857135 649028562 1081714270 1622571405 3245142810