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30930900 = 2235271113103
BaseRepresentation
bin111010111111…
…1011111010100
32011012110012220
41311333133110
530404242100
63022542340
7523623360
oct165773724
964173186
1030930900
1116506930
12a4379b0
13653c910
1441722a0
152aaeaa0
hex1d7f7d4

30930900 has 288 divisors, whose sum is σ = 121325568. Its totient is φ = 5875200.

The previous prime is 30930881. The next prime is 30930943. The reversal of 30930900 is 903903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300249 + ... + 300351.

Almost surely, 230930900 is an apocalyptic number.

30930900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30930900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60662784).

30930900 is an abundant number, since it is smaller than the sum of its proper divisors (90394668).

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

30930900 is a wasteful number, since it uses less digits than its factorization.

30930900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 30930900 is about 5561.5555377970. Note that the first 4 decimals coincide. The cubic root of 30930900 is about 313.9044836391.

It can be divided in two parts, 309 and 30900, that multiplied together give a square (9548100 = 30902).

The spelling of 30930900 in words is "thirty million, nine hundred thirty thousand, nine hundred".