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30730752 = 29351319
BaseRepresentation
bin111010100111…
…0101000000000
32010211021200000
41311032220000
530331341002
63014400000
7522131013
oct165165000
963737600
1030730752
111638a518
12a360000
13649c7a0
14411d37a
152a7061c
hex1d4ea00

30730752 has 240 divisors, whose sum is σ = 104264160. Its totient is φ = 8957952.

The previous prime is 30730727. The next prime is 30730769. The reversal of 30730752 is 25703703.

30730752 is a `hidden beast` number, since 307 + 307 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1617399 + ... + 1617417.

It is an arithmetic number, because the mean of its divisors is an integer number (434434).

Almost surely, 230730752 is an apocalyptic number.

30730752 is a gapful number since it is divisible by the number (32) 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 30730752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52132080).

30730752 is an abundant number, since it is smaller than the sum of its proper divisors (73533408).

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

30730752 is an equidigital number, since it uses as much as digits as its factorization.

30730752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 30730752 is about 5543.5324478170. The cubic root of 30730752 is about 313.2259457961.

The spelling of 30730752 in words is "thirty million, seven hundred thirty thousand, seven hundred fifty-two".