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1344470336 = 261123431931
BaseRepresentation
bin101000000100010…
…1111110101000000
310110200212011120122
41100020233311000
510223141022321
6341224355412
745213544406
oct12010576500
93420764518
101344470336
1162aa11510
12316315b68
131857084a1
14ca7b9476
157d0768ab
hex5022fd40

1344470336 has 112 divisors (see below), whose sum is σ = 3109252608. Its totient is φ = 570662400.

The previous prime is 1344470333. The next prime is 1344470377. The reversal of 1344470336 is 6330744431.

It is a junction number, because it is equal to n+sod(n) for n = 1344470296 and 1344470305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344470333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695291 + ... + 697221.

It is an arithmetic number, because the mean of its divisors is an integer number (27761184).

Almost surely, 21344470336 is an apocalyptic number.

1344470336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344470336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554626304).

1344470336 is an abundant number, since it is smaller than the sum of its proper divisors (1764782272).

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

1344470336 is a wasteful number, since it uses less digits than its factorization.

1344470336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The square root of 1344470336 is about 36667.0197316335. The cubic root of 1344470336 is about 1103.6983878166.

The spelling of 1344470336 in words is "one billion, three hundred forty-four million, four hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 32 43 44 46 64 86 88 92 172 176 184 253 344 352 368 473 506 688 704 736 946 989 1012 1376 1472 1892 1931 1978 2024 2752 3784 3862 3956 4048 7568 7724 7912 8096 10879 15136 15448 15824 16192 21241 21758 30272 30896 31648 42482 43516 44413 61792 63296 83033 84964 87032 88826 123584 166066 169928 174064 177652 332132 339856 348128 355304 488543 664264 679712 696256 710608 913363 977086 1328528 1359424 1421216 1826726 1909759 1954172 2657056 2842432 3653452 3819518 3908344 5314112 7306904 7639036 7816688 14613808 15278072 15633376 21007349 29227616 30556144 31266752 42014698 58455232 61112288 84029396 122224576 168058792 336117584 672235168 1344470336