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1344441264 = 243235412251
BaseRepresentation
bin101000000100010…
…1000101110110000
310110200210200200220
41100020220232300
510223134110024
6341224013040
745213363555
oct12010505660
93420720626
101344441264
1162a9a1691
12316301180
131856c819a
14ca7aca2c
157d06ce79
hex50228bb0

1344441264 has 80 divisors (see below), whose sum is σ = 3632457984. Its totient is φ = 427680000.

The previous prime is 1344441257. The next prime is 1344441283. The reversal of 1344441264 is 4621444431.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 596139 + ... + 598389.

Almost surely, 21344441264 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 1344441264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816228992).

1344441264 is an abundant number, since it is smaller than the sum of its proper divisors (2288016720).

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

1344441264 is a wasteful number, since it uses less digits than its factorization.

1344441264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2820 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 1344441264 is about 36666.6232969440. The cubic root of 1344441264 is about 1103.6904325274.

Adding to 1344441264 its reverse (4621444431), we get a palindrome (5965885695).

The spelling of 1344441264 in words is "one billion, three hundred forty-four million, four hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 541 552 1082 1104 1623 2164 2251 3246 4328 4502 6492 6753 8656 9004 12443 12984 13506 18008 24886 25968 27012 36016 37329 49772 51773 54024 74658 99544 103546 108048 149316 155319 199088 207092 298632 310638 414184 597264 621276 828368 1217791 1242552 2435582 2485104 3653373 4871164 7306746 9742328 14613492 19484656 28009193 29226984 56018386 58453968 84027579 112036772 168055158 224073544 336110316 448147088 672220632 1344441264