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1348147872 = 253217275357
BaseRepresentation
bin101000001011011…
…0001101010100000
310110221210000012200
41100112301222200
510230111212442
6341435253200
745260032161
oct12026615240
93427700180
101348147872
11631aa34a5
123175aa200
131863c5346
14cb095768
157d55134c
hex505b1aa0

1348147872 has 72 divisors (see below), whose sum is σ = 4059327636. Its totient is φ = 422946816.

The previous prime is 1348147847. The next prime is 1348147901. The reversal of 1348147872 is 2787418431.

1348147872 is a `hidden beast` number, since 1 + 34 + 81 + 478 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1250612496 + 97535376 = 35364^2 + 9876^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132783 + ... + 142574.

Almost surely, 21348147872 is an apocalyptic number.

1348147872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1348147872 is an abundant number, since it is smaller than the sum of its proper divisors (2711179764).

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

1348147872 is a wasteful number, since it uses less digits than its factorization.

1348147872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275390 (or 275379 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 1348147872 is about 36717.1332214268. The cubic root of 1348147872 is about 1104.7037888016.

The spelling of 1348147872 in words is "one billion, three hundred forty-eight million, one hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 275357 550714 826071 1101428 1652142 2202856 2478213 3304284 4405712 4681069 4956426 6608568 8811424 9362138 9912852 13217136 14043207 18724276 19825704 26434272 28086414 37448552 39651408 42129621 56172828 74897104 79302816 84259242 112345656 149794208 168518484 224691312 337036968 449382624 674073936 1348147872