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2344234324432 = 2471121379168433
BaseRepresentation
bin100010000111001111010…
…000010001000111010000
322022002212201110101100111
4202013033100101013100
5301401442441340212
64552532033131104
7331236211661410
oct42071720210720
98262781411314
102344234324432
11824203186800
1231a3b33b9a94
131400a277b640
14816666ac640
1540ea3c82ea7
hex221cf4111d0

2344234324432 has 240 divisors, whose sum is σ = 6222302302720. Its totient is φ = 832404418560.

The previous prime is 2344234324429. The next prime is 2344234324447.

2344234324432 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13833688 + ... + 14002120.

Almost surely, 22344234324432 is an apocalyptic number.

2344234324432 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 2344234324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111151151360).

2344234324432 is an abundant number, since it is smaller than the sum of its proper divisors (3878067978288).

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

2344234324432 is a wasteful number, since it uses less digits than its factorization.

2344234324432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168562 (or 168545 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 40.

The spelling of 2344234324432 in words is "two trillion, three hundred forty-four billion, two hundred thirty-four million, three hundred twenty-four thousand, four hundred thirty-two".