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730231424 = 2713233757
BaseRepresentation
bin101011100001100…
…111001010000000
31212220001121012022
4223201213022000
52443414401144
6200243221012
724044602406
oct5341471200
91786047168
10730231424
1134521874a
12184677768
13b8395800
146cda7476
1544194cee
hex2b867280

730231424 has 48 divisors (see below), whose sum is σ = 1575317070. Its totient is φ = 337019904.

The previous prime is 730231417. The next prime is 730231429. The reversal of 730231424 is 424132037.

It can be written as a sum of positive squares in 3 ways, for example, as 414529600 + 315701824 = 20360^2 + 17768^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 730231393 and 730231402.

It is not an unprimeable number, because it can be changed into a prime (730231429) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4754 + ... + 38510.

Almost surely, 2730231424 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 730231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787658535).

730231424 is an abundant number, since it is smaller than the sum of its proper divisors (845085646).

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

730231424 is a wasteful number, since it uses less digits than its factorization.

730231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33797 (or 33772 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 730231424 is about 27022.7945261033. The cubic root of 730231424 is about 900.5064737768.

It can be divided in two parts, 73023 and 1424, that added together give a palindrome (74447).

The spelling of 730231424 in words is "seven hundred thirty million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 5408 10816 21632 33757 67514 135028 270056 438841 540112 877682 1080224 1755364 2160448 3510728 4320896 5704933 7021456 11409866 14042912 22819732 28085824 45639464 56171648 91278928 182557856 365115712 730231424