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1345226656 = 25612712543
BaseRepresentation
bin101000000101110…
…1000011110100000
310110202021121001111
41100023220132200
510223334223111
6341252513104
745223144414
oct12013503640
93422247044
101345226656
11630388774
1231661b794
13185911807
14ca934d44
157d175a21
hex502e87a0

1345226656 has 48 divisors (see below), whose sum is σ = 2702827008. Its totient is φ = 658886400.

The previous prime is 1345226651. The next prime is 1345226669. The reversal of 1345226656 is 6566225431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1345226651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527721 + ... + 530263.

It is an arithmetic number, because the mean of its divisors is an integer number (56308896).

Almost surely, 21345226656 is an apocalyptic number.

1345226656 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 1345226656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351413504).

1345226656 is an abundant number, since it is smaller than the sum of its proper divisors (1357600352).

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

1345226656 is a wasteful number, since it uses less digits than its factorization.

1345226656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2877 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The square root of 1345226656 is about 36677.3316368571. The cubic root of 1345226656 is about 1103.9053076383.

The spelling of 1345226656 in words is "one billion, three hundred forty-five million, two hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 122 244 271 488 542 976 1084 1952 2168 2543 4336 5086 8672 10172 16531 20344 33062 40688 66124 81376 132248 155123 264496 310246 528992 620492 689153 1240984 1378306 2481968 2756612 4963936 5513224 11026448 22052896 42038333 84076666 168153332 336306664 672613328 1345226656