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30314304 = 263353331
BaseRepresentation
bin111001110100…
…0111101000000
32010001010102000
41303220331000
530230024204
63001424000
7515444616
oct163507500
963033360
1030314304
1116125649
12a19b000
136385077
1440516b6
1529dc039
hex1ce8f40

30314304 has 112 divisors (see below), whose sum is σ = 91074240. Its totient is φ = 9884160.

The previous prime is 30314303. The next prime is 30314327. The reversal of 30314304 is 40341303.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30314303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91419 + ... + 91749.

Almost surely, 230314304 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 30314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45537120).

30314304 is an abundant number, since it is smaller than the sum of its proper divisors (60759936).

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

30314304 is a wasteful number, since it uses less digits than its factorization.

30314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30314304 is about 5505.8427147894. The cubic root of 30314304 is about 311.8046113921.

Adding to 30314304 its reverse (40341303), we get a palindrome (70655607).

The spelling of 30314304 in words is "thirty million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 144 159 192 212 216 288 318 331 424 432 477 576 636 662 848 864 954 993 1272 1324 1431 1696 1728 1908 1986 2544 2648 2862 2979 3392 3816 3972 5088 5296 5724 5958 7632 7944 8937 10176 10592 11448 11916 15264 15888 17543 17874 21184 22896 23832 30528 31776 35086 35748 45792 47664 52629 63552 70172 71496 91584 95328 105258 140344 142992 157887 190656 210516 280688 285984 315774 421032 473661 561376 571968 631548 842064 947322 1122752 1263096 1684128 1894644 2526192 3368256 3789288 5052384 7578576 10104768 15157152 30314304