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30420304 = 2429531237
BaseRepresentation
bin111010000001…
…0110101010000
32010020111210221
41310002311100
530241422204
63004002424
7516365635
oct164026520
963214727
1030420304
1116198252
12a230414
1363c13a5
14407c18c
152a0d654
hex1d02d50

30420304 has 40 divisors (see below), whose sum is σ = 62172360. Its totient is φ = 14396928.

The previous prime is 30420277. The next prime is 30420317. The reversal of 30420304 is 40302403.

It can be written as a sum of positive squares in 4 ways, for example, as 11235904 + 19184400 = 3352^2 + 4380^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23974 + ... + 25210.

It is an arithmetic number, because the mean of its divisors is an integer number (1554309).

Almost surely, 230420304 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 30420304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31086180).

30420304 is an abundant number, since it is smaller than the sum of its proper divisors (31752056).

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

30420304 is a wasteful number, since it uses less digits than its factorization.

30420304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 30420304 is about 5515.4604522197. The cubic root of 30420304 is about 312.1676175822.

Adding to 30420304 its reverse (40302403), we get a palindrome (70722707).

The spelling of 30420304 in words is "thirty million, four hundred twenty thousand, three hundred four".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1237 1537 2474 3074 4948 6148 9896 12296 19792 24592 35873 65561 71746 131122 143492 262244 286984 524488 573968 1048976 1901269 3802538 7605076 15210152 30420304