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30430752 = 2531128817
BaseRepresentation
bin111010000010…
…1011000100000
32010021001010220
41310011120200
530242241002
63004123040
7516441252
oct164053040
963231126
1030430752
11161a5090
12a236480
1363c6081
144081cd2
152a117bc
hex1d05620

30430752 has 48 divisors (see below), whose sum is σ = 87145632. Its totient is φ = 9221120.

The previous prime is 30430739. The next prime is 30430753. The reversal of 30430752 is 25703403.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30430753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13353 + ... + 15464.

It is an arithmetic number, because the mean of its divisors is an integer number (1815534).

Almost surely, 230430752 is an apocalyptic number.

30430752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30430752 is an abundant number, since it is smaller than the sum of its proper divisors (56714880).

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

30430752 is a wasteful number, since it uses less digits than its factorization.

30430752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28841 (or 28833 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 30430752 is about 5516.4075266427. The cubic root of 30430752 is about 312.2033519823.

The spelling of 30430752 in words is "thirty million, four hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 28817 57634 86451 115268 172902 230536 316987 345804 461072 633974 691608 922144 950961 1267948 1383216 1901922 2535896 2766432 3803844 5071792 7607688 10143584 15215376 30430752