Search a number
-
+
342401463384 = 233176163121803
BaseRepresentation
bin1001111101110001011…
…01111011010001011000
31012201210112202112200220
410332320231323101120
521102214233312014
6421144055400040
733511012263201
oct4767055732130
91181715675626
10342401463384
11122236777322
1256439683020
132639958cc06
14128026305a8
158d8ee0a6a9
hex4fb8b7b458

342401463384 has 128 divisors (see below), whose sum is σ = 922717370880. Its totient is φ = 105486796800.

The previous prime is 342401463359. The next prime is 342401463389. The reversal of 342401463384 is 483364104243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342401463389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15693427 + ... + 15715229.

It is an arithmetic number, because the mean of its divisors is an integer number (7208729460).

Almost surely, 2342401463384 is an apocalyptic number.

342401463384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342401463384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461358685440).

342401463384 is an abundant number, since it is smaller than the sum of its proper divisors (580315907496).

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

342401463384 is a wasteful number, since it uses less digits than its factorization.

342401463384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22521 (or 22517 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 342401463384 in words is "three hundred forty-two billion, four hundred one million, four hundred sixty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 183 204 244 366 408 488 631 732 1037 1262 1464 1893 2074 2524 3111 3786 4148 5048 6222 7572 8296 10727 12444 15144 21454 21803 24888 32181 38491 42908 43606 64362 65409 76982 85816 87212 115473 128724 130818 153964 174424 230946 257448 261636 307928 370651 461892 523272 654347 741302 923784 1111953 1308694 1329983 1482604 1963041 2223906 2617388 2659966 2965208 3926082 3989949 4447812 5234776 5319932 7852164 7979898 8895624 10639864 13757693 15704328 15959796 22609711 27515386 31919592 41273079 45219422 55030772 67829133 82546158 90438844 110061544 135658266 165092316 180877688 233880781 271316532 330184632 467761562 542633064 701642343 839219273 935523124 1403284686 1678438546 1871046248 2517657819 2806569372 3356877092 5035315638 5613138744 6713754184 10070631276 14266727641 20141262552 28533455282 42800182923 57066910564 85600365846 114133821128 171200731692 342401463384