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2343442143330 = 2325293877231589
BaseRepresentation
bin100010000110100000000…
…010010101100001100010
322022000211111211102011200
4202012200002111201202
5301343332142041310
64552321254022030
7331210452361461
oct42064002254142
98260744742150
102343442143330
11823936aa6382
1231a212047916
1313cca7605622
14815cd3ba9d8
1540e594529c0
hex221a0095862

2343442143330 has 96 divisors (see below), whose sum is σ = 6304704260400. Its totient is φ = 603210779136.

The previous prime is 2343442143323. The next prime is 2343442143379. The reversal of 2343442143330 is 333412443432.

2343442143330 is a `hidden beast` number, since 2 + 3 + 43 + 442 + 143 + 3 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 618083709489 + 1725358433841 = 786183^2 + 1313529^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10003176 + ... + 10234764.

Almost surely, 22343442143330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343442143330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152352130200).

2343442143330 is an abundant number, since it is smaller than the sum of its proper divisors (3961262117070).

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

2343442143330 is a wasteful number, since it uses less digits than its factorization.

2343442143330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235508 (or 235505 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 2343442143330 its reverse (333412443432), we get a palindrome (2676854586762).

The spelling of 2343442143330 in words is "two trillion, three hundred forty-three billion, four hundred forty-two million, one hundred forty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 3877 7754 11631 19385 23262 34893 38770 58155 69786 112433 116310 174465 224866 231589 337299 348930 463178 562165 674598 694767 1011897 1124330 1157945 1389534 1686495 2023794 2084301 2315890 3372990 3473835 4168602 5059485 6716081 6947670 10118970 10421505 13432162 20148243 20843010 33580405 40296486 60444729 67160810 100741215 120889458 201482430 302223645 604447290 897870553 1795741106 2693611659 4489352765 5387223318 8080834977 8978705530 13468058295 16161669954 26038246037 26936116590 40404174885 52076492074 78114738111 80808349770 130191230185 156229476222 234344214333 260382460370 390573690555 468688428666 781147381110 1171721071665 2343442143330