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3412141260 = 22351126919219
BaseRepresentation
bin1100101101100001…
…0010010011001100
322210210112201212020
43023120102103030
523442002010020
61322330010140
7150361502463
oct31330222314
98723481766
103412141260
1114a1079260
127b2876950
13424bb71c8
1424524b9da
1514e854c40
hexcb6124cc

3412141260 has 96 divisors (see below), whose sum is σ = 10461830400. Its totient is φ = 824067840.

The previous prime is 3412141181. The next prime is 3412141267. The reversal of 3412141260 is 621412143.

It is a self number, because there is not a number n which added to its sum of digits gives 3412141260.

It is not an unprimeable number, because it can be changed into a prime (3412141267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167931 + ... + 187149.

It is an arithmetic number, because the mean of its divisors is an integer number (108977400).

Almost surely, 23412141260 is an apocalyptic number.

3412141260 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 3412141260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230915200).

3412141260 is an abundant number, since it is smaller than the sum of its proper divisors (7049689140).

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

3412141260 is a wasteful number, since it uses less digits than its factorization.

3412141260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19511 (or 19509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3412141260 is about 58413.5366160961. The cubic root of 3412141260 is about 1505.4823470578.

The spelling of 3412141260 in words is "three billion, four hundred twelve million, one hundred forty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 269 330 538 660 807 1076 1345 1614 2690 2959 3228 4035 5380 5918 8070 8877 11836 14795 16140 17754 19219 29590 35508 38438 44385 57657 59180 76876 88770 96095 115314 177540 192190 211409 230628 288285 384380 422818 576570 634227 845636 1057045 1153140 1268454 2114090 2536908 3171135 4228180 5169911 6342270 10339822 12684540 15509733 20679644 25849555 31019466 51699110 56869021 62038932 77548665 103398220 113738042 155097330 170607063 227476084 284345105 310194660 341214126 568690210 682428252 853035315 1137380420 1706070630 3412141260