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1344728256 = 26313950387
BaseRepresentation
bin101000000100110…
…1110110011000000
310110201100021101020
41100021232303000
510223222301011
6341234105440
745216000354
oct12011566300
93421307336
101344728256
11630078273
1231641b280
131857989c1
14ca845464
157d0c8006
hex5026ecc0

1344728256 has 56 divisors (see below), whose sum is σ = 3583594560. Its totient is φ = 445009152.

The previous prime is 1344728227. The next prime is 1344728269. The reversal of 1344728256 is 6528274431.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1495 + ... + 51881.

It is an arithmetic number, because the mean of its divisors is an integer number (63992760).

Almost surely, 21344728256 is an apocalyptic number.

1344728256 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 1344728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791797280).

1344728256 is an abundant number, since it is smaller than the sum of its proper divisors (2238866304).

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

1344728256 is a wasteful number, since it uses less digits than its factorization.

1344728256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50541 (or 50531 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 1344728256 is about 36670.5366200169. The cubic root of 1344728256 is about 1103.7689602641.

The spelling of 1344728256 in words is "one billion, three hundred forty-four million, seven hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 3336 4448 6672 8896 13344 26688 50387 100774 151161 201548 302322 403096 604644 806192 1209288 1612384 2418576 3224768 4837152 7003793 9674304 14007586 21011379 28015172 42022758 56030344 84045516 112060688 168091032 224121376 336182064 448242752 672364128 1344728256