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30319008 = 253417703
BaseRepresentation
bin111001110101…
…0000110100000
32010001100212020
41303222012200
530230202013
63001501440
7515464416
oct163520640
963040766
1030319008
1116129135
12a1a1880
136387255
1440532b6
1529dd623
hex1cea1a0

30319008 has 48 divisors (see below), whose sum is σ = 81539136. Its totient is φ = 9858560.

The previous prime is 30318989. The next prime is 30319031. The reversal of 30319008 is 80091303.

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

It is a super-2 number, since 2×303190082 = 1838484492208128, which contains 22 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 85 + ... + 7787.

It is an arithmetic number, because the mean of its divisors is an integer number (1698732).

Almost surely, 230319008 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 30319008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40769568).

30319008 is an abundant number, since it is smaller than the sum of its proper divisors (51220128).

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

30319008 is a wasteful number, since it uses less digits than its factorization.

30319008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7757 (or 7749 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 30319008 is about 5506.2698807814. The cubic root of 30319008 is about 311.8207385756.

The spelling of 30319008 in words is "thirty million, three hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 7703 15406 23109 30812 46218 61624 92436 123248 184872 246496 315823 369744 631646 739488 947469 1263292 1894938 2526584 3789876 5053168 7579752 10106336 15159504 30319008