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2344034004 = 223131512659
BaseRepresentation
bin1000101110110111…
…0001111011010100
320001100201021011020
42023231301323110
514300033042004
61024332441140
7112041650244
oct21355617324
96040637136
102344034004
11aa3167494
125550191b0
132b4821b90
14183451b24
15dabbd8d9
hex8bb71ed4

2344034004 has 72 divisors (see below), whose sum is σ = 5938400160. Its totient is φ = 715377600.

The previous prime is 2344033999. The next prime is 2344034039. The reversal of 2344034004 is 4004304432.

It is a happy number.

It is a congruent number.

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, 3556627 + ... + 3557285.

It is an arithmetic number, because the mean of its divisors is an integer number (82477780).

Almost surely, 22344034004 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 2344034004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969200080).

2344034004 is an abundant number, since it is smaller than the sum of its proper divisors (3594366156).

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

2344034004 is a wasteful number, since it uses less digits than its factorization.

2344034004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2344034004 is about 48415.2249194404. The cubic root of 2344034004 is about 1328.3768625174.

Adding to 2344034004 its reverse (4004304432), we get a palindrome (6348338436).

The spelling of 2344034004 in words is "two billion, three hundred forty-four million, thirty-four thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 302 453 604 659 906 1318 1812 1963 1977 2636 3926 3954 5889 7852 7908 8567 11778 17134 22801 23556 25701 34268 45602 51402 68403 91204 99509 102804 136806 199018 273612 296413 298527 398036 592826 597054 889239 1185652 1194108 1293617 1778478 2587234 3556956 3880851 5174468 7761702 15025859 15523404 30051718 45077577 60103436 90155154 180310308 195336167 390672334 586008501 781344668 1172017002 2344034004