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30313760 = 255414621
BaseRepresentation
bin111001110100…
…0110100100000
32010001002122212
41303220310200
530230020020
63001421252
7515443211
oct163506440
963032585
1030313760
11161251a4
12a19a828
136384a49
144051408
1529dbcc5
hex1ce8d20

30313760 has 48 divisors (see below), whose sum is σ = 73378872. Its totient is φ = 11827200.

The previous prime is 30313741. The next prime is 30313763. The reversal of 30313760 is 6731303.

It can be written as a sum of positive squares in 4 ways, for example, as 14409616 + 15904144 = 3796^2 + 3988^2 .

It is not an unprimeable number, because it can be changed into a prime (30313763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4250 + ... + 8870.

Almost surely, 230313760 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 30313760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36689436).

30313760 is an abundant number, since it is smaller than the sum of its proper divisors (43065112).

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

30313760 is a wasteful number, since it uses less digits than its factorization.

30313760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 30313760 is about 5505.7933125027. The cubic root of 30313760 is about 311.8027462361.

The spelling of 30313760 in words is "thirty million, three hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 4621 6560 9242 18484 23105 36968 46210 73936 92420 147872 184840 189461 369680 378922 739360 757844 947305 1515688 1894610 3031376 3789220 6062752 7578440 15156880 30313760