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234346643432 = 23116779503123
BaseRepresentation
bin1101101001000000100…
…1011111111111101000
3211101220000112221201022
43122100021133333220
512314420220042212
6255353553512012
722634220413456
oct3322011377750
9741800487638
10234346643432
1190427630830
1239502272608
1319139085125
14b4b19159d6
156168997772
hex369025ffe8

234346643432 has 64 divisors (see below), whose sum is σ = 492659020800. Its totient is φ = 103602882240.

The previous prime is 234346643423. The next prime is 234346643483.

234346643432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214223 + ... + 717345.

It is an arithmetic number, because the mean of its divisors is an integer number (7697797200).

Almost surely, 2234346643432 is an apocalyptic number.

234346643432 is a gapful number since it is divisible by the number (22) 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 234346643432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246329510400).

234346643432 is an abundant number, since it is smaller than the sum of its proper divisors (258312377368).

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

234346643432 is a wasteful number, since it uses less digits than its factorization.

234346643432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503286 (or 503282 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 44.

It can be divided in two parts, 234346 and 643432, that added together give a palindrome (877778).

The spelling of 234346643432 in words is "two hundred thirty-four billion, three hundred forty-six million, six hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 67 79 88 134 158 268 316 536 632 737 869 1474 1738 2948 3476 5293 5896 6952 10586 21172 42344 58223 116446 232892 465784 503123 1006246 2012492 4024984 5534353 11068706 22137412 33709241 39746717 44274824 67418482 79493434 134836964 158986868 269673928 317973736 370801651 437213887 741603302 874427774 1483206604 1748855548 2663030039 2966413208 3497711096 5326060078 10652120156 21304240312 29293330429 58586660858 117173321716 234346643432