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346113630 = 232518121247
BaseRepresentation
bin10100101000010…
…100011001011110
3220010021101122100
4110220110121132
51202101114010
654202225530
711401626432
oct2450243136
9803241570
10346113630
11168410325
1297ab52a6
1356925285
1433d789c2
15205bc2c0
hex14a1465e

346113630 has 48 divisors (see below), whose sum is σ = 904909824. Its totient is φ = 91782720.

The previous prime is 346113623. The next prime is 346113631. The reversal of 346113630 is 36311643.

It is a junction number, because it is equal to n+sod(n) for n = 346113594 and 346113603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346113631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5667 + ... + 26913.

It is an arithmetic number, because the mean of its divisors is an integer number (18852288).

Almost surely, 2346113630 is an apocalyptic number.

346113630 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 346113630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452454912).

346113630 is an abundant number, since it is smaller than the sum of its proper divisors (558796194).

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

346113630 is a wasteful number, since it uses less digits than its factorization.

346113630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21441 (or 21438 counting only the distinct ones).

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

The square root of 346113630 is about 18604.1293803284. The cubic root of 346113630 is about 702.1117386115. Note that the first 3 decimals are identical.

The spelling of 346113630 in words is "three hundred forty-six million, one hundred thirteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 3258 5430 8145 16290 21247 42494 63741 106235 127482 191223 212470 318705 382446 637410 956115 1912230 3845707 7691414 11537121 19228535 23074242 34611363 38457070 57685605 69222726 115371210 173056815 346113630