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30906306 = 23317131257
BaseRepresentation
bin111010111100…
…1011111000010
32011011012111000
41311321133002
530403000211
63022232430
7523461564
oct165713702
964135430
1030906306
111649a402
12a425716
136531672
144167334
152aa7656
hex1d797c2

30906306 has 64 divisors (see below), whose sum is σ = 73560960. Its totient is φ = 9584640.

The previous prime is 30906299. The next prime is 30906311. The reversal of 30906306 is 60360903.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30906306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120130 + ... + 120386.

It is an arithmetic number, because the mean of its divisors is an integer number (1149390).

Almost surely, 230906306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30906306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36780480).

30906306 is an abundant number, since it is smaller than the sum of its proper divisors (42654654).

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

30906306 is a wasteful number, since it uses less digits than its factorization.

30906306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 30906306 is about 5559.3440260520. The cubic root of 30906306 is about 313.8212635804.

The spelling of 30906306 in words is "thirty million, nine hundred six thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 131 153 257 262 306 393 459 514 771 786 918 1179 1542 2227 2313 2358 3537 4369 4454 4626 6681 6939 7074 8738 13107 13362 13878 20043 26214 33667 39321 40086 60129 67334 78642 101001 117963 120258 202002 235926 303003 572339 606006 909009 1144678 1717017 1818018 3434034 5151051 10302102 15453153 30906306