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1348268256 = 253241911173
BaseRepresentation
bin101000001011100…
…1111000011100000
310110222000010100100
41100113033003200
510230124041011
6341442022400
745261043146
oct12027170340
93428003310
101348268256
11632075995
12317647a00
1318643808a
14cb0c7596
157d576d56
hex505cf0e0

1348268256 has 72 divisors (see below), whose sum is σ = 3843632520. Its totient is φ = 448310016.

The previous prime is 1348268239. The next prime is 1348268263. The reversal of 1348268256 is 6528628431.

1348268256 is a `hidden beast` number, since 134 + 8 + 268 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115086 + ... + 126258.

It is an arithmetic number, because the mean of its divisors is an integer number (53383785).

Almost surely, 21348268256 is an apocalyptic number.

1348268256 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 1348268256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921816260).

1348268256 is an abundant number, since it is smaller than the sum of its proper divisors (2495364264).

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

1348268256 is a wasteful number, since it uses less digits than its factorization.

1348268256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11608 (or 11597 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1348268256 is about 36718.7725285037. The cubic root of 1348268256 is about 1104.7366696414.

The spelling of 1348268256 in words is "one billion, three hundred forty-eight million, two hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 419 838 1257 1676 2514 3352 3771 5028 6704 7542 10056 11173 13408 15084 20112 22346 30168 33519 40224 44692 60336 67038 89384 100557 120672 134076 178768 201114 268152 357536 402228 536304 804456 1072608 1608912 3217824 4681487 9362974 14044461 18725948 28088922 37451896 42133383 56177844 74903792 84266766 112355688 149807584 168533532 224711376 337067064 449422752 674134128 1348268256