Search a number
-
+
2342267304 = 2331383151599
BaseRepresentation
bin1000101110011100…
…0010100110101000
320001020101111200220
42023213002212220
514244110023204
61024230530040
7112020641436
oct21347024650
96036344626
102342267304
11aa2170103
12554506920
132b43539b0
14183111d56
15da9701d9
hex8b9c29a8

2342267304 has 128 divisors (see below), whose sum is σ = 6435072000. Its totient is φ = 706118400.

The previous prime is 2342267299. The next prime is 2342267309. The reversal of 2342267304 is 4037622432.

It is an interprime number because it is at equal distance from previous prime (2342267299) and next prime (2342267309).

It is a super-2 number, since 2×23422673042 = 10972432246774856832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2342267309) 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, 3909997 + ... + 3910595.

It is an arithmetic number, because the mean of its divisors is an integer number (50274000).

Almost surely, 22342267304 is an apocalyptic number.

2342267304 is a gapful number since it is divisible by the number (24) 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 2342267304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536000).

2342267304 is an abundant number, since it is smaller than the sum of its proper divisors (4092804696).

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

2342267304 is a wasteful number, since it uses less digits than its factorization.

2342267304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 2342267304 is about 48396.9761865346. The cubic root of 2342267304 is about 1328.0430457935.

Adding to 2342267304 its reverse (4037622432), we get a palindrome (6379889736).

The spelling of 2342267304 in words is "two billion, three hundred forty-two million, two hundred sixty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 151 156 166 249 302 312 332 453 498 599 604 664 906 996 1079 1198 1208 1797 1812 1963 1992 2158 2396 3237 3594 3624 3926 4316 4792 5889 6474 7188 7787 7852 8632 11778 12533 12948 14376 15574 15704 23361 23556 25066 25896 31148 37599 46722 47112 49717 50132 62296 75198 90449 93444 99434 100264 149151 150396 162929 180898 186888 198868 271347 298302 300792 325858 361796 397736 488787 542694 596604 646321 651716 723592 977574 1085388 1175837 1193208 1292642 1303432 1938963 1955148 2170776 2351674 2585284 3527511 3877926 3910296 4703348 5170568 7055022 7507267 7755852 9406696 14110044 15014534 15511704 22521801 28220088 30029068 45043602 60058136 90087204 97594471 180174408 195188942 292783413 390377884 585566826 780755768 1171133652 2342267304