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2343840644640 = 253511216721447
BaseRepresentation
bin100010000110110111110…
…010011111111000100000
322022001212021200101012110
4202012313302133320200
5301400141201112030
64552425011155320
7331223361522045
oct42066762377040
98261767611173
102343840644640
11824020a38300
1231a3035a5b40
1314003c040a11
148162a2b11cc
1540e7e41c1b0
hex221b7c9fe20

2343840644640 has 432 divisors, whose sum is σ = 8169833883456. Its totient is φ = 564411048960.

The previous prime is 2343840644633. The next prime is 2343840644693. The reversal of 2343840644640 is 464460483432.

2343840644640 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2343840644640.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1619792397 + ... + 1619793843.

It is an arithmetic number, because the mean of its divisors is an integer number (18911652508).

Almost surely, 22343840644640 is an apocalyptic number.

2343840644640 is a gapful number since it is divisible by the number (20) 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 2343840644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084916941728).

2343840644640 is an abundant number, since it is smaller than the sum of its proper divisors (5825993238816).

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

2343840644640 is a wasteful number, since it uses less digits than its factorization.

2343840644640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 2343840644640 in words is "two trillion, three hundred forty-three billion, eight hundred forty million, six hundred forty-four thousand, six hundred forty".