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2400342012 = 223446316001
BaseRepresentation
bin1000111100010010…
…0100111111111100
320012021200000020000
42033010210333330
514403441421022
61034103354300
7113324366445
oct21704447774
96167600200
102400342012
111021a26532
1256ba52990
132c33a8523
1418ab0c2cc
15e0ae26ac
hex8f124ffc

2400342012 has 60 divisors (see below), whose sum is σ = 6288914016. Its totient is φ = 798336000.

The previous prime is 2400342011. The next prime is 2400342019. The reversal of 2400342012 is 2102430042.

2400342012 is a `hidden beast` number, since 240 + 0 + 3 + 420 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400342011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 142012 + ... + 158012.

Almost surely, 22400342012 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 2400342012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144457008).

2400342012 is an abundant number, since it is smaller than the sum of its proper divisors (3888572004).

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

2400342012 is a wasteful number, since it uses less digits than its factorization.

2400342012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16480 (or 16469 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2400342012 is about 48993.2853766718. The cubic root of 2400342012 is about 1338.9294955053.

Adding to 2400342012 its reverse (2102430042), we get a palindrome (4502772054).

The spelling of 2400342012 in words is "two billion, four hundred million, three hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 463 926 1389 1852 2778 4167 5556 8334 12501 16001 16668 25002 32002 37503 48003 50004 64004 75006 96006 144009 150012 192012 288018 432027 576036 864054 1296081 1728108 2592162 5184324 7408463 14816926 22225389 29633852 44450778 66676167 88901556 133352334 200028501 266704668 400057002 600085503 800114004 1200171006 2400342012