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2342402424 = 2332591393967
BaseRepresentation
bin1000101110011110…
…0011100101111000
320001020122101001100
42023213203211320
514244123334144
61024233451400
7112022043405
oct21347434570
96036571040
102342402424
11aa225267a
12554570b60
132b43a034b
141831492ac
15da99a269
hex8b9e3978

2342402424 has 96 divisors (see below), whose sum is σ = 6499584000. Its totient is φ = 761852736.

The previous prime is 2342402423. The next prime is 2342402429. The reversal of 2342402424 is 4242042432.

2342402424 is a `hidden beast` number, since 234 + 2 + 4 + 0 + 2 + 424 = 666.

It is a super-2 number, since 2×23424024242 = 10973698231922151552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342402423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588489 + ... + 592455.

It is an arithmetic number, because the mean of its divisors is an integer number (67704000).

Almost surely, 22342402424 is an apocalyptic number.

2342402424 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 2342402424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792000).

2342402424 is an abundant number, since it is smaller than the sum of its proper divisors (4157181576).

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

2342402424 is a wasteful number, since it uses less digits than its factorization.

2342402424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2342402424 is about 48398.3721213844. The cubic root of 2342402424 is about 1328.0685825495.

Adding to 2342402424 its reverse (4242042432), we get a palindrome (6584444856).

The spelling of 2342402424 in words is "two billion, three hundred forty-two million, four hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 139 177 236 278 354 417 472 531 556 708 834 1062 1112 1251 1416 1668 2124 2502 3336 3967 4248 5004 7934 8201 10008 11901 15868 16402 23802 24603 31736 32804 35703 47604 49206 65608 71406 73809 95208 98412 142812 147618 196824 234053 285624 295236 468106 551413 590472 702159 936212 1102826 1404318 1654239 1872424 2106477 2205652 2808636 3308478 4212954 4411304 4962717 5617272 6616956 8425908 9925434 13233912 16851816 19850868 32533367 39701736 65066734 97600101 130133468 195200202 260266936 292800303 390400404 585600606 780800808 1171201212 2342402424