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2343464643432 = 2331131011814013
BaseRepresentation
bin100010000110100001011…
…000001010101101101000
322022000220002011112111210
4202012201120022231220
5301343403422042212
64552323420153120
7331211144542443
oct42064130125550
98260802145453
102343464643432
11823948774000
1231a2196987a0
1313ccac1829b3
14815d239665a
1540e5b3e953c
hex221a160ab68

2343464643432 has 256 divisors, whose sum is σ = 6545476304640. Its totient is φ = 699050880000.

The previous prime is 2343464643337. The next prime is 2343464643433.

2343464643432 is nontrivially palindromic in base 10.

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 (2343464643433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 583966258 + ... + 583970270.

It is an arithmetic number, because the mean of its divisors is an integer number (25568266815).

Almost surely, 22343464643432 is an apocalyptic number.

2343464643432 is a gapful number since it is divisible by the number (22) 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 2343464643432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272738152320).

2343464643432 is an abundant number, since it is smaller than the sum of its proper divisors (4202011661208).

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

2343464643432 is a wasteful number, since it uses less digits than its factorization.

2343464643432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337 (or 4311 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

The spelling of 2343464643432 in words is "two trillion, three hundred forty-three billion, four hundred sixty-four million, six hundred forty-three thousand, four hundred thirty-two".