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232303842 = 23319257881
BaseRepresentation
bin11011101100010…
…10110011100010
3121012010020222000
431312022303202
5433432210332
635015024430
75520356451
oct1566126342
9535106860
10232303842
1110a147351
126596b116
1339187ac4
1422bd0b98
15155dab7c
hexdd8ace2

232303842 has 64 divisors (see below), whose sum is σ = 546134400. Its totient is φ = 72990720.

The previous prime is 232303837. The next prime is 232303843. The reversal of 232303842 is 248303232.

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

It is not an unprimeable number, because it can be changed into a prime (232303843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263242 + ... + 264122.

It is an arithmetic number, because the mean of its divisors is an integer number (8533350).

Almost surely, 2232303842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232303842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273067200).

232303842 is an abundant number, since it is smaller than the sum of its proper divisors (313830558).

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

232303842 is a wasteful number, since it uses less digits than its factorization.

232303842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 232303842 is about 15241.5170504776. The cubic root of 232303842 is about 614.7314949251.

It can be divided in two parts, 23230 and 3842, that added together give a palindrome (27072).

The spelling of 232303842 in words is "two hundred thirty-two million, three hundred three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 257 342 513 514 771 881 1026 1542 1762 2313 2643 4626 4883 5286 6939 7929 9766 13878 14649 15858 16739 23787 29298 33478 43947 47574 50217 87894 100434 131841 150651 226417 263682 301302 451953 452834 679251 903906 1358502 2037753 4075506 4301923 6113259 8603846 12226518 12905769 25811538 38717307 77434614 116151921 232303842