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2324400057 = 34731132241
BaseRepresentation
bin1000101010001011…
…1000011110111001
312222222202202110000
42022202320132321
514230021300212
61022351543213
7111413034360
oct21242703671
95888682400
102324400057
11a93077191
1254a52ab09
132b0739265
141809c07d7
15d90e11dc
hex8a8b87b9

2324400057 has 40 divisors (see below), whose sum is σ = 4096328192. Its totient is φ = 1285372800.

The previous prime is 2324400053. The next prime is 2324400061. The reversal of 2324400057 is 7500044232.

2324400057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2324400053) and next prime (2324400061).

It is not a de Polignac number, because 2324400057 - 22 = 2324400053 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2324400057.

It is not an unprimeable number, because it can be changed into a prime (2324400053) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48544 + ... + 83697.

Almost surely, 22324400057 is an apocalyptic number.

2324400057 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2324400057 is a deficient number, since it is larger than the sum of its proper divisors (1771928135).

2324400057 is a wasteful number, since it uses less digits than its factorization.

2324400057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132291 (or 132282 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2324400057 is about 48212.0322844827. The cubic root of 2324400057 is about 1324.6575703694.

Adding to 2324400057 its reverse (7500044232), we get a palindrome (9824444289).

The spelling of 2324400057 in words is "two billion, three hundred twenty-four million, four hundred thousand, fifty-seven".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 279 567 651 837 1953 2511 5859 17577 132241 396723 925687 1190169 2777061 3570507 4099471 8331183 10711521 12298413 24993549 28696297 36895239 74980647 86088891 110685717 258266673 332057151 774800019 2324400057