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2312040416 = 25735928751
BaseRepresentation
bin1000100111001110…
…1110111111100000
312222010111211012112
42021303232333200
514213340243131
61021231014452
7111203006420
oct21163567740
95863454175
102312040416
11a870a5204
1254636a428
132aaccc66a
1417d0c4480
15d7e9e02b
hex89ceefe0

2312040416 has 48 divisors (see below), whose sum is σ = 5216762880. Its totient is φ = 988080000.

The previous prime is 2312040407. The next prime is 2312040427. The reversal of 2312040416 is 6140402132.

It is a junction number, because it is equal to n+sod(n) for n = 2312040391 and 2312040400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66041 + ... + 94791.

It is an arithmetic number, because the mean of its divisors is an integer number (108682560).

Almost surely, 22312040416 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 2312040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608381440).

2312040416 is an abundant number, since it is smaller than the sum of its proper divisors (2904722464).

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

2312040416 is a wasteful number, since it uses less digits than its factorization.

2312040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29127 (or 29119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2312040416 is about 48083.6813898437. The cubic root of 2312040416 is about 1322.3055086623.

Adding to 2312040416 its reverse (6140402132), we get a palindrome (8452442548).

It can be divided in two parts, 23120 and 40416, that added together give a palindrome (63536).

The spelling of 2312040416 in words is "two billion, three hundred twelve million, forty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 359 718 1436 2513 2872 5026 5744 10052 11488 20104 28751 40208 57502 80416 115004 201257 230008 402514 460016 805028 920032 1610056 3220112 6440224 10321609 20643218 41286436 72251263 82572872 144502526 165145744 289005052 330291488 578010104 1156020208 2312040416