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342000030042 = 2321117632316069
BaseRepresentation
bin1001111101000001100…
…10100101000101011010
31012200202120101121200100
410332200302211011122
521100404001430132
6421040155320230
733465036201456
oct4764062450532
91180676347610
10342000030042
11122050112530
1256347150076
13263343690a8
14127a51b5666
158d69a6237c
hex4fa0ca515a

342000030042 has 96 divisors (see below), whose sum is σ = 856103152320. Its totient is φ = 97518620160.

The previous prime is 342000030037. The next prime is 342000030049. The reversal of 342000030042 is 240030000243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 342000029997 and 342000030024.

It is not an unprimeable number, because it can be changed into a prime (342000030049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21275184 + ... + 21291252.

It is an arithmetic number, because the mean of its divisors is an integer number (8917741170).

Almost surely, 2342000030042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342000030042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428051576160).

342000030042 is an abundant number, since it is smaller than the sum of its proper divisors (514103122278).

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

342000030042 is a wasteful number, since it uses less digits than its factorization.

342000030042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22428 (or 22425 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 342000030042 its reverse (240030000243), we get a palindrome (582030030285).

The spelling of 342000030042 in words is "three hundred forty-two billion, thirty thousand, forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 6323 12646 16069 18969 32138 37938 48207 56907 69553 96414 107491 113814 139106 144621 176759 208659 214982 273173 289242 322473 353518 417318 530277 546346 625977 644946 819519 967419 1060554 1182401 1251954 1590831 1639038 1934838 2364802 2458557 3004903 3181662 3547203 4917114 6009806 7094406 9014709 10641609 18029418 21283218 27044127 54088254 101604287 203208574 304812861 609625722 914438583 1117647157 1727272879 1828877166 2235294314 3352941471 3454545758 5181818637 6705882942 10058824413 10363637274 15545455911 19000001669 20117648826 31090911822 38000003338 57000005007 114000010014 171000015021 342000030042