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342090630 = 232571928579
BaseRepresentation
bin10100011000111…
…110001110000110
3212211201000010100
4110120332032012
51200033400010
653540104530
711322502530
oct2430761606
9784630110
10342090630
11166112832
1296695146
1355b470bb
143360c850
15200752c0
hex1463e386

342090630 has 96 divisors (see below), whose sum is σ = 1070035200. Its totient is φ = 74074176.

The previous prime is 342090613. The next prime is 342090631. The reversal of 342090630 is 36090243.

342090630 is a `hidden beast` number, since 3 + 4 + 20 + 9 + 0 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 342090594 and 342090603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342090631) 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, 2320 + ... + 26259.

It is an arithmetic number, because the mean of its divisors is an integer number (11146200).

Almost surely, 2342090630 is an apocalyptic number.

342090630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342090630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535017600).

342090630 is an abundant number, since it is smaller than the sum of its proper divisors (727944570).

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

342090630 is a wasteful number, since it uses less digits than its factorization.

342090630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28618 (or 28615 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 342090630 is about 18495.6922011586. The cubic root of 342090630 is about 699.3808334464.

The spelling of 342090630 in words is "three hundred forty-two million, ninety thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1197 1330 1710 1995 2394 3990 5985 11970 28579 57158 85737 142895 171474 200053 257211 285790 400106 428685 514422 543001 600159 857370 1000265 1086002 1200318 1286055 1629003 1800477 2000530 2572110 2715005 3000795 3258006 3600954 3801007 4887009 5430010 6001590 7602014 8145015 9002385 9774018 11403021 16290030 18004770 19005035 22806042 24435045 34209063 38010070 48870090 57015105 68418126 114030210 171045315 342090630