Search a number
-
+
2342431320 = 233523848707
BaseRepresentation
bin1000101110011110…
…1010101001011000
320001020200211200120
42023213222221120
514244130300240
61024234233240
7112022223555
oct21347525130
96036624616
102342431320
11aa2272359
12554585820
132b43b0548
14183155a2c
15da9a3ad0
hex8b9eaa58

2342431320 has 64 divisors (see below), whose sum is σ = 7332837120. Its totient is φ = 597489024.

The previous prime is 2342431303. The next prime is 2342431327. The reversal of 2342431320 is 231342432.

2342431320 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342431327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421594 + ... + 427113.

It is an arithmetic number, because the mean of its divisors is an integer number (114575580).

Almost surely, 22342431320 is an apocalyptic number.

2342431320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342431320 is an abundant number, since it is smaller than the sum of its proper divisors (4990405800).

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

2342431320 is a wasteful number, since it uses less digits than its factorization.

2342431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848744 (or 848740 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2342431320 is about 48398.6706429009. The cubic root of 2342431320 is about 1328.0740435684.

Adding to 2342431320 its reverse (231342432), we get a palindrome (2573773752).

The spelling of 2342431320 in words is "two billion, three hundred forty-two million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 848707 1697414 2546121 3394828 4243535 5092242 6789656 8487070 10184484 12730605 16974140 19520261 20368968 25461210 33948280 39040522 50922420 58560783 78081044 97601305 101844840 117121566 156162088 195202610 234243132 292803915 390405220 468486264 585607830 780810440 1171215660 2342431320