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2344642344 = 23321129313789
BaseRepresentation
bin1000101111000000…
…0110011100101000
320001101212011122100
42023300012130220
514300212023334
61024353453400
7112050062652
oct21360063450
96041764570
102344642344
11aa3542550
12555271260
132b49a5a45
1418356d6d2
15dac8dc99
hex8bc06728

2344642344 has 384 divisors, whose sum is σ = 7682688000. Its totient is φ = 638668800.

The previous prime is 2344642331. The next prime is 2344642357. The reversal of 2344642344 is 4432464432.

2344642344 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 642 + 3 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2344642331) and next prime (2344642357).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2344642299 and 2344642308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26344252 + ... + 26344340.

It is an arithmetic number, because the mean of its divisors is an integer number (20007000).

Almost surely, 22344642344 is an apocalyptic number.

2344642344 is a gapful number since it is divisible by the number (24) 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 2344642344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841344000).

2344642344 is an abundant number, since it is smaller than the sum of its proper divisors (5338045656).

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

2344642344 is a wasteful number, since it uses less digits than its factorization.

2344642344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

The square root of 2344642344 is about 48421.5070397442. The cubic root of 2344642344 is about 1328.4917691101.

The spelling of 2344642344 in words is "two billion, three hundred forty-four million, six hundred forty-two thousand, three hundred forty-four".