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345635004 = 22311131910601
BaseRepresentation
bin10100100110011…
…111100010111100
3220002101002002110
4110212133202330
51201440310004
654144054020
711364564141
oct2446374274
9802332073
10345635004
11168113770
1297904310
13567b8470
1433c923c8
1520525589
hex1499f8bc

345635004 has 96 divisors (see below), whose sum is σ = 997436160. Its totient is φ = 91584000.

The previous prime is 345634987. The next prime is 345635009. The reversal of 345635004 is 400536543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345635009) 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, 27304 + ... + 37904.

It is an arithmetic number, because the mean of its divisors is an integer number (10389960).

Almost surely, 2345635004 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 345635004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498718080).

345635004 is an abundant number, since it is smaller than the sum of its proper divisors (651801156).

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

345635004 is a wasteful number, since it uses less digits than its factorization.

345635004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10651 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 345635004 is about 18591.2614956597. The cubic root of 345635004 is about 701.7879490372.

The spelling of 345635004 in words is "three hundred forty-five million, six hundred thirty-five thousand, four".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 33 38 39 44 52 57 66 76 78 114 132 143 156 209 228 247 286 418 429 494 572 627 741 836 858 988 1254 1482 1716 2508 2717 2964 5434 8151 10601 10868 16302 21202 31803 32604 42404 63606 116611 127212 137813 201419 233222 275626 349833 402838 413439 466444 551252 604257 699666 805676 826878 1208514 1399332 1515943 1653756 2215609 2417028 2618447 3031886 4431218 4547829 5236894 6063772 6646827 7855341 8862436 9095658 10473788 13293654 15710682 18191316 26587308 28802917 31421364 57605834 86408751 115211668 172817502 345635004