Search a number
-
+
3413202468 = 2231328177863
BaseRepresentation
bin1100101101110001…
…0101011000100100
322210212112122120020
43023130111120210
523442234434333
61322404435140
7150403512414
oct31334253044
98725478506
103413202468
1114a1733595
127b30a8ab0
13425199240
14245446644
1514e9b43b3
hexcb715624

3413202468 has 48 divisors (see below), whose sum is σ = 8607398016. Its totient is φ = 1046465280.

The previous prime is 3413202467. The next prime is 3413202469. The reversal of 3413202468 is 8642023143.

It is an interprime number because it is at equal distance from previous prime (3413202467) and next prime (3413202469).

It is a super-2 number, since 2×34132024682 = 23299902175122582048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3413202467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4905 + ... + 82767.

It is an arithmetic number, because the mean of its divisors is an integer number (179320792).

Almost surely, 23413202468 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 3413202468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303699008).

3413202468 is an abundant number, since it is smaller than the sum of its proper divisors (5194195548).

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

3413202468 is a wasteful number, since it uses less digits than its factorization.

3413202468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78164 (or 78162 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3413202468 is about 58422.6194893724. The cubic root of 3413202468 is about 1505.6384039335.

The spelling of 3413202468 in words is "three billion, four hundred thirteen million, two hundred two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 281 562 843 1124 1686 3372 3653 7306 10959 14612 21918 43836 77863 155726 233589 311452 467178 934356 1012219 2024438 3036657 4048876 6073314 12146628 21879503 43759006 65638509 87518012 131277018 262554036 284433539 568867078 853300617 1137734156 1706601234 3413202468