Search a number
-
+
343331433044240 = 24529147987686657
BaseRepresentation
bin100111000010000100001010…
…0000110110101100100010000
31200000122011102212212222212112
41032010020110012311210100
5330000120233324403430
63214112141040244452
7132213606654302624
oct11604102406654420
91600564385788775
10343331433044240
119a43a052359983
123260bb22310728
1311976027571424
1460ad489829184
1529a5c89cc8195
hex13842141b5910

343331433044240 has 40 divisors (see below), whose sum is σ = 825771291551640. Its totient is φ = 132596967243776.

The previous prime is 343331433044219. The next prime is 343331433044297. The reversal of 343331433044240 is 42440334133343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39294042102016 + 304037390942224 = 6268496^2 + 17436668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3433314330442402 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73993841009 + ... + 73993845648.

It is an arithmetic number, because the mean of its divisors is an integer number (20644282288791).

Almost surely, 2343331433044240 is an apocalyptic number.

It is an amenable number.

343331433044240 is an abundant number, since it is smaller than the sum of its proper divisors (482439858507400).

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

343331433044240 is a wasteful number, since it uses less digits than its factorization.

343331433044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147987686699 (or 147987686693 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 41.

Adding to 343331433044240 its reverse (42440334133343), we get a palindrome (385771767177583).

The spelling of 343331433044240 in words is "three hundred forty-three trillion, three hundred thirty-one billion, four hundred thirty-three million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 147987686657 295975373314 591950746628 739938433285 1183901493256 1479876866570 2367802986512 2959753733140 4291642913053 5919507466280 8583285826106 11839014932560 17166571652212 21458214565265 34333143304424 42916429130530 68666286608848 85832858261060 171665716522120 343331433044240