Search a number
-
+
342534370374 = 23377915773061
BaseRepresentation
bin1001111110000001010…
…00111011010001000110
31012202010210211220211000
410333000220323101012
521103002244322444
6421205204154130
733514215052140
oct4770050732106
91182123756730
10342534370374
111222a47a4309
1256476098946
13263bac858c1
1412816149c90
158d9b910469
hex4fc0a3b446

342534370374 has 128 divisors (see below), whose sum is σ = 886563532800. Its totient is φ = 96011360640.

The previous prime is 342534370351. The next prime is 342534370379. The reversal of 342534370374 is 473073435243.

342534370374 is a `hidden beast` number, since 3 + 42 + 534 + 3 + 7 + 0 + 3 + 74 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342534370379) 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, 4651804 + ... + 4724864.

It is an arithmetic number, because the mean of its divisors is an integer number (6926277600).

Almost surely, 2342534370374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342534370374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443281766400).

342534370374 is an abundant number, since it is smaller than the sum of its proper divisors (544029162426).

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

342534370374 is a wasteful number, since it uses less digits than its factorization.

342534370374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73315 (or 73309 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 45.

The spelling of 342534370374 in words is "three hundred forty-two billion, five hundred thirty-four million, three hundred seventy thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 126 157 158 189 237 314 378 471 474 553 711 942 1099 1106 1413 1422 1659 2133 2198 2826 3297 3318 4239 4266 4977 6594 8478 9891 9954 12403 14931 19782 24806 29673 29862 37209 59346 73061 74418 86821 111627 146122 173642 219183 223254 260463 334881 438366 511427 520926 657549 669762 781389 1022854 1315098 1534281 1562778 1972647 2344167 3068562 3945294 4602843 4688334 5771819 9205686 11470577 11543638 13808529 17315457 22941154 27617058 34411731 34630914 40402733 51946371 68823462 80294039 80805466 103235193 103892742 121208199 155839113 160588078 206470386 240882117 242416398 309705579 311678226 363624597 481764234 619411158 722646351 727249194 906175583 1090873791 1445292702 1812351166 2167939053 2181747582 2718526749 4335878106 5437053498 6343229081 8155580247 12686458162 16311160494 19029687243 24466740741 38059374486 48933481482 57089061729 114178123458 171267185187 342534370374