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234243342432 = 25321126721859
BaseRepresentation
bin1101101000100111111…
…1011100000001100000
3211101121211011201101100
43122021333130001200
512314212243424212
6255335423434400
722631524362411
oct3321177340140
9741554151340
10234243342432
1190384295200
1239493755a00
1319120856c88
14b4a1d05808
15615e88ebdc
hex3689fdc060

234243342432 has 108 divisors (see below), whose sum is σ = 732192044220. Its totient is φ = 70982820480.

The previous prime is 234243342407. The next prime is 234243342433.

234243342432 is a `hidden beast` number, since 2 + 34 + 243 + 342 + 43 + 2 = 666.

234243342432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234243342433) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3326082 + ... + 3395777.

It is an arithmetic number, because the mean of its divisors is an integer number (6779555965).

Almost surely, 2234243342432 is an apocalyptic number.

234243342432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234243342432 is an abundant number, since it is smaller than the sum of its proper divisors (497948701788).

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

234243342432 is a wasteful number, since it uses less digits than its factorization.

234243342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721897 (or 6721875 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 234243 and 342432, that added together give a palindrome (576675).

The spelling of 234243342432 in words is "two hundred thirty-four billion, two hundred forty-three million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848 6721859 13443718 20165577 26887436 40331154 53774872 60496731 73940449 80662308 107549744 120993462 147880898 161324616 215099488 221821347 241986924 295761796 322649232 443642694 483973848 591523592 645298464 665464041 813344939 887285388 967947696 1183047184 1330928082 1626689878 1774570776 1935895392 2366094368 2440034817 2661856164 3253379756 3549141552 4880069634 5323712328 6506759512 7098283104 7320104451 9760139268 10647424656 13013519024 14640208902 19520278536 21294849312 26027038048 29280417804 39040557072 58560835608 78081114144 117121671216 234243342432