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30372352 = 29137433
BaseRepresentation
bin111001111011…
…1001000000000
32010011002000221
41303313020000
530233403402
63002552424
7516106063
oct163671000
963132027
1030372352
111616521a
12a208714
1363a560a
1440688da
1529ee337
hex1cf7200

30372352 has 40 divisors (see below), whose sum is σ = 61269516. Its totient is φ = 15040512.

The previous prime is 30372341. The next prime is 30372383. The reversal of 30372352 is 25327303.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29419776 + 952576 = 5424^2 + 976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69928 + ... + 70360.

Almost surely, 230372352 is an apocalyptic number.

30372352 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 30372352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30634758).

30372352 is an abundant number, since it is smaller than the sum of its proper divisors (30897164).

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

30372352 is an equidigital number, since it uses as much as digits as its factorization.

30372352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 25.

The square root of 30372352 is about 5511.1116845878. Note that the first 3 decimals coincide. The cubic root of 30372352 is about 312.0035064256.

Adding to 30372352 its reverse (25327303), we get a palindrome (55699655).

The spelling of 30372352 in words is "thirty million, three hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 433 512 548 866 1096 1732 2192 3464 4384 6928 8768 13856 17536 27712 35072 55424 59321 70144 110848 118642 221696 237284 474568 949136 1898272 3796544 7593088 15186176 30372352