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2313132432 = 2431314812503
BaseRepresentation
bin1000100111011111…
…1001100110010000
312222012120022011120
42021313321212100
514214130214212
61021310242240
7111215205222
oct21167714620
95865508146
102313132432
11a877806a6
125467b6380
132ab2c2720
1417d2ca412
15d811788c
hex89df9990

2313132432 has 80 divisors (see below), whose sum is σ = 6442171008. Its totient is φ = 710968320.

The previous prime is 2313132391. The next prime is 2313132439. The reversal of 2313132432 is 2342313132.

2313132432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2313132439) 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, 922893 + ... + 925395.

Almost surely, 22313132432 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 2313132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221085504).

2313132432 is an abundant number, since it is smaller than the sum of its proper divisors (4129038576).

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

2313132432 is a wasteful number, since it uses less digits than its factorization.

2313132432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008 (or 4002 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 2313132432 is about 48095.0354194692. The cubic root of 2313132432 is about 1322.5136583531.

Adding to 2313132432 its reverse (2342313132), we get a palindrome (4655445564).

The spelling of 2313132432 in words is "two billion, three hundred thirteen million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1481 2503 2962 4443 5006 5924 7509 8886 10012 11848 15018 17772 19253 20024 23696 30036 32539 35544 38506 40048 57759 60072 65078 71088 77012 97617 115518 120144 130156 154024 195234 231036 260312 308048 390468 462072 520624 780936 924144 1561872 3706943 7413886 11120829 14827772 22241658 29655544 44483316 48190259 59311088 88966632 96380518 144570777 177933264 192761036 289141554 385522072 578283108 771044144 1156566216 2313132432