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30457300 = 2252614993
BaseRepresentation
bin111010000101…
…1110111010100
32010022101120011
41310023313110
530244113200
63004450004
7516611536
oct164136724
963271504
1030457300
1116213025
12a249904
136405193
14408b856
152a195ba
hex1d0bdd4

30457300 has 36 divisors (see below), whose sum is σ = 67189276. Its totient is φ = 11980800.

The previous prime is 30457291. The next prime is 30457303. The reversal of 30457300 is 375403.

It can be written as a sum of positive squares in 6 ways, for example, as 7551504 + 22905796 = 2748^2 + 4786^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30457303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3604 + ... + 8596.

Almost surely, 230457300 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 30457300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33594638).

30457300 is an abundant number, since it is smaller than the sum of its proper divisors (36731976).

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

30457300 is a wasteful number, since it uses less digits than its factorization.

30457300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 30457300 is about 5518.8132782329. The cubic root of 30457300 is about 312.2941150529.

The spelling of 30457300 in words is "thirty million, four hundred fifty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 4993 6100 9986 19972 24965 49930 99860 124825 249650 304573 499300 609146 1218292 1522865 3045730 6091460 7614325 15228650 30457300