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343311341440431 = 371319162740680319
BaseRepresentation
bin100111000001111010110011…
…0100011011100110110101111
31200000120020120122222202211010
41032003311212203130312233
5324444303111402043211
63214055015235400303
7132212266040423340
oct11603654643346657
91600506518882733
10343311341440431
119a431582153631
1232608055753093
1311974174c02870
1460ac5012da0c7
1529a54b0eb54a6
hex1383d668dcdaf

343311341440431 has 64 divisors (see below), whose sum is σ = 593398946201600. Its totient is φ = 171450942800256.

The previous prime is 343311341440399. The next prime is 343311341440447. The reversal of 343311341440431 is 134044143113343.

It is a happy number.

It is not a de Polignac number, because 343311341440431 - 25 = 343311341440399 is a prime.

It is a super-2 number, since 2×3433113414404312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 343311341440431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343311341440451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11900911 + ... + 28779408.

It is an arithmetic number, because the mean of its divisors is an integer number (9271858534400).

Almost surely, 2343311341440431 is an apocalyptic number.

343311341440431 is a deficient number, since it is larger than the sum of its proper divisors (250087604761169).

343311341440431 is a wasteful number, since it uses less digits than its factorization.

343311341440431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40681988.

The product of its (nonzero) digits is 248832, while the sum is 39.

Adding to 343311341440431 its reverse (134044143113343), we get a palindrome (477355484553774).

The spelling of 343311341440431 in words is "three hundred forty-three trillion, three hundred eleven billion, three hundred forty-one million, four hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 399 741 1627 1729 4881 5187 11389 21151 30913 34167 63453 92739 148057 216391 401869 444171 649173 1205607 2813083 8439249 40680319 122040957 284762233 528844147 772926061 854286699 1586532441 2318778183 3701909029 5410482427 10048038793 11105727087 16231447281 30144116379 66186879013 70336271551 198560637039 211008814653 463308153091 860429427169 1257550701247 1389924459273 2581288281507 3772652103741 6023005990183 8802854908729 16348159116211 18069017970549 26408564726187 49044477348633 114437113813477 343311341440431