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1307348448 = 25373076337
BaseRepresentation
bin100110111101100…
…1000110111100000
310101010000011220220
41031323020313200
510134140122243
6333421003040
744253164340
oct11573106740
93333004826
101307348448
11610a6726a
123059b3480
1317ab0b983
14c58b4d20
1579b92783
hex4dec8de0

1307348448 has 96 divisors (see below), whose sum is σ = 3935441664. Its totient is φ = 372252672.

The previous prime is 1307348437. The next prime is 1307348453. The reversal of 1307348448 is 8448437031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203136 + ... + 209472.

It is an arithmetic number, because the mean of its divisors is an integer number (40994184).

Almost surely, 21307348448 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 1307348448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967720832).

1307348448 is an abundant number, since it is smaller than the sum of its proper divisors (2628093216).

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

1307348448 is a wasteful number, since it uses less digits than its factorization.

1307348448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 1307348448 is about 36157.2737910368. The cubic root of 1307348448 is about 1093.4454419380.

The spelling of 1307348448 in words is "one billion, three hundred seven million, three hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 307 336 614 672 921 1228 1842 2149 2456 3684 4298 4912 6337 6447 7368 8596 9824 12674 12894 14736 17192 19011 25348 25788 29472 34384 38022 44359 50696 51576 68768 76044 88718 101392 103152 133077 152088 177436 202784 206304 266154 304176 354872 532308 608352 709744 1064616 1419488 1945459 2129232 3890918 4258464 5836377 7781836 11672754 13618213 15563672 23345508 27236426 31127344 40854639 46691016 54472852 62254688 81709278 93382032 108945704 163418556 186764064 217891408 326837112 435782816 653674224 1307348448