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30908200 = 235229732
BaseRepresentation
bin111010111100…
…1111100101000
32011011022002011
41311321330220
530403030300
63022245304
7523500241
oct165717450
964138064
1030908200
11164a0874
12a426834
13653249b
144167cc8
152aa7eba
hex1d79f28

30908200 has 72 divisors (see below), whose sum is σ = 75371850. Its totient is φ = 11773440.

The previous prime is 30908191. The next prime is 30908201. The reversal of 30908200 is 280903.

It can be written as a sum of positive squares in 9 ways, for example, as 3261636 + 27646564 = 1806^2 + 5258^2 .

It is not an unprimeable number, because it can be changed into a prime (30908201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 423364 + ... + 423436.

Almost surely, 230908200 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 30908200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37685925).

30908200 is an abundant number, since it is smaller than the sum of its proper divisors (44463650).

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

30908200 is a wasteful number, since it uses less digits than its factorization.

30908200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 30908200 is about 5559.5143672807. The cubic root of 30908200 is about 313.8276739802.

The spelling of 30908200 in words is "thirty million, nine hundred eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 73 100 116 145 146 200 232 290 292 365 580 584 725 730 1160 1450 1460 1825 2117 2900 2920 3650 4234 5329 5800 7300 8468 10585 10658 14600 16936 21170 21316 26645 42340 42632 52925 53290 84680 105850 106580 133225 154541 211700 213160 266450 309082 423400 532900 618164 772705 1065800 1236328 1545410 3090820 3863525 6181640 7727050 15454100 30908200