Search a number
-
+
343400324012984 = 237219931434730637
BaseRepresentation
bin100111000010100100001111…
…0010101000001101110111000
31200000212202021000101210212102
41032011020132111001232320
5330002232330421403414
63214203533033002532
7132221566104003200
oct11605103625015670
91600782230353772
10343400324012984
119a466294528397
1232621349853448
131197c685cc5464
1460b2943031400
1529a796cd6bede
hex138521e541bb8

343400324012984 has 96 divisors (see below), whose sum is σ = 749450663696880. Its totient is φ = 147082669364736.

The previous prime is 343400324012951. The next prime is 343400324013029. The reversal of 343400324012984 is 489210423004343.

It is a super-2 number, since 2×3434003240129842 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11208664514 + ... + 11208695150.

Almost surely, 2343400324012984 is an apocalyptic number.

It is an amenable number.

343400324012984 is an abundant number, since it is smaller than the sum of its proper divisors (406050339683896).

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

343400324012984 is a wasteful number, since it uses less digits than its factorization.

343400324012984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46997 (or 46986 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 47.

The spelling of 343400324012984 in words is "three hundred forty-three trillion, four hundred billion, three hundred twenty-four million, twelve thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 1993 3986 7972 13951 14347 15944 27902 28694 30637 55804 57388 61274 97657 100429 111608 114776 122548 195314 200858 214459 245096 390628 401716 428918 703003 781256 803432 857836 1406006 1501213 1715672 2812012 3002426 5624024 6004852 12009704 28593571 57187142 61059541 114374284 122119082 200154997 228748568 244238164 400309994 427416787 439549039 488476328 800619988 854833574 879098078 1401084979 1601239976 1709667148 1758196156 2802169958 2991917509 3076843273 3419334296 3516392312 5604339916 5983835018 6153686546 11208679832 11967670036 12307373092 21537902911 23935340072 24614746184 43075805822 86151611644 172303223288 876021234727 1752042469454 3504084938908 6132148643089 7008169877816 12264297286178 24528594572356 42925040501623 49057189144712 85850081003246 171700162006492 343400324012984