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1230145344 = 26322135669
BaseRepresentation
bin100100101010010…
…1000011101000000
310011201201212011200
41021110220131000
510004404122334
6322022141200
742325030401
oct11124503500
93151655150
101230145344
1158142644a
122a3b81800
13167b1a66c
14b95399a8
1572ee2799
hex49528740

1230145344 has 42 divisors (see below), whose sum is σ = 3525991170. Its totient is φ = 410048256.

The previous prime is 1230145307. The next prime is 1230145349. The reversal of 1230145344 is 4435410321.

It is a happy number.

1230145344 is a `hidden beast` number, since 12 + 301 + 4 + 5 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1029639744 + 200505600 = 32088^2 + 14160^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230145349) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1067259 + ... + 1068410.

Almost surely, 21230145344 is an apocalyptic number.

It is an amenable number.

1230145344 is an abundant number, since it is smaller than the sum of its proper divisors (2295845826).

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

1230145344 is a wasteful number, since it uses less digits than its factorization.

1230145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135687 (or 2135674 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1230145344 is about 35073.4278906411. The cubic root of 1230145344 is about 1071.4834706193.

Adding to 1230145344 its reverse (4435410321), we get a palindrome (5665555665).

The spelling of 1230145344 in words is "one billion, two hundred thirty million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2135669 4271338 6407007 8542676 12814014 17085352 19221021 25628028 34170704 38442042 51256056 68341408 76884084 102512112 136682816 153768168 205024224 307536336 410048448 615072672 1230145344