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1124730369 = 327215972
BaseRepresentation
bin100001100001010…
…0000011000000001
32220101101020000100
41003002200120001
54300412332434
6303334513013
736605023200
oct10302403001
92811336010
101124730369
11527976634
12274805769
1314c02c239
14a9539237
1568b1d699
hex430a0601

1124730369 has 27 divisors (see below), whose sum is σ = 1891037187. Its totient is φ = 642300624.

The previous prime is 1124730361. The next prime is 1124730379. The reversal of 1124730369 is 9630374211.

The square root of 1124730369 is 33537.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 225450225 + 899280144 = 15015^2 + 29988^2 .

It is not a de Polignac number, because 1124730369 - 23 = 1124730361 is a prime.

It is a super-2 number, since 2×11247303692 = 2530036805901752322, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1124730361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 703479 + ... + 705075.

Almost surely, 21124730369 is an apocalyptic number.

1124730369 is the 33537-th square number.

1124730369 is the 16769-th centered octagonal number.

It is an amenable number.

1124730369 is a deficient number, since it is larger than the sum of its proper divisors (766306818).

1124730369 is an frugal number, since it uses more digits than its factorization.

1124730369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The cubic root of 1124730369 is about 1039.9588152453.

Multiplying 1124730369 by its sum of digits (36), we get a square (40490293284 = 2012222).

It can be divided in two parts, 11247 and 30369, that added together give a triangular number (41616 = T288).

The spelling of 1124730369 in words is "one billion, one hundred twenty-four million, seven hundred thirty thousand, three hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 1597 4791 11179 14373 33537 78253 100611 234759 704277 2550409 7651227 17852863 22953681 53558589 124970041 160675767 374910123 1124730369