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342460332 = 2233191571063
BaseRepresentation
bin10100011010011…
…000011110101100
3212212101210021000
4110122120132230
51200132212312
653552040300
711325602424
oct2432303654
9785353230
10342460332
11166345575
1296833090
1355c46466
14336a7484
15200e9adc
hex146987ac

342460332 has 96 divisors (see below), whose sum is σ = 941427200. Its totient is φ = 107355456.

The previous prime is 342460303. The next prime is 342460337. The reversal of 342460332 is 233064243.

It is a happy number.

342460332 is a `hidden beast` number, since 3 + 4 + 24 + 603 + 32 = 666.

342460332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 342460296 and 342460305.

It is not an unprimeable number, because it can be changed into a prime (342460337) 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, 321633 + ... + 322695.

Almost surely, 2342460332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342460332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470713600).

342460332 is an abundant number, since it is smaller than the sum of its proper divisors (598966868).

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

342460332 is a wasteful number, since it uses less digits than its factorization.

342460332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 342460332 is about 18505.6837755323. The cubic root of 342460332 is about 699.6326862032.

The spelling of 342460332 in words is "three hundred forty-two million, four hundred sixty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 157 171 228 314 342 471 513 628 684 942 1026 1063 1413 1884 2052 2126 2826 2983 3189 4239 4252 5652 5966 6378 8478 8949 9567 11932 12756 16956 17898 19134 20197 26847 28701 35796 38268 40394 53694 57402 60591 80541 80788 107388 114804 121182 161082 166891 181773 242364 322164 333782 363546 500673 545319 667564 727092 1001346 1090638 1502019 2002692 2181276 3004038 3170929 4506057 6008076 6341858 9012114 9512787 12683716 18024228 19025574 28538361 38051148 57076722 85615083 114153444 171230166 342460332