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1348116608 = 27372811013
BaseRepresentation
bin101000001011010…
…1010000010000000
310110221201102022202
41100112222002000
510230104212413
6341434452332
745256542056
oct12026520200
93427642282
101348116608
11631a81a63
123175940a8
131863b4047
14cb0881d6
157d546e58
hex505aa080

1348116608 has 64 divisors (see below), whose sum is σ = 2770836120. Its totient is φ = 652861440.

The previous prime is 1348116587. The next prime is 1348116617. The reversal of 1348116608 is 8066118431.

It can be written as a sum of positive squares in 4 ways, for example, as 1097464384 + 250652224 = 33128^2 + 15832^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 1330310 + ... + 1331322.

Almost surely, 21348116608 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 1348116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385418060).

1348116608 is an abundant number, since it is smaller than the sum of its proper divisors (1422719512).

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

1348116608 is a wasteful number, since it uses less digits than its factorization.

1348116608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 1348116608 is about 36716.7074776593. The cubic root of 1348116608 is about 1104.6952492521.

The spelling of 1348116608 in words is "one billion, three hundred forty-eight million, one hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 281 296 562 592 1013 1124 1184 2026 2248 2368 4052 4496 4736 8104 8992 10397 16208 17984 20794 32416 35968 37481 41588 64832 74962 83176 129664 149924 166352 284653 299848 332704 569306 599696 665408 1138612 1199392 1330816 2277224 2398784 4554448 4797568 9108896 10532161 18217792 21064322 36435584 42128644 84257288 168514576 337029152 674058304 1348116608