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1348345395 = 325172199521
BaseRepresentation
bin101000001011110…
…0001111000110011
310110222011001011100
41100113201320303
510230134023040
6341443415443
745261514065
oct12027417063
93428131140
101348345395
11632118941
12317684583
13186464217
14cb107735
157d58eb30
hex505e1e33

1348345395 has 72 divisors (see below), whose sum is σ = 2499962400. Its totient is φ = 672122880.

The previous prime is 1348345373. The next prime is 1348345441. The reversal of 1348345395 is 5935438431.

1348345395 is a `hidden beast` number, since 1 + 34 + 83 + 4 + 539 + 5 = 666.

It is not a de Polignac number, because 1348345395 - 25 = 1348345363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1348345395.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2587735 + ... + 2588255.

It is an arithmetic number, because the mean of its divisors is an integer number (34721700).

Almost surely, 21348345395 is an apocalyptic number.

1348345395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1348345395 is a deficient number, since it is larger than the sum of its proper divisors (1151617005).

1348345395 is a wasteful number, since it uses less digits than its factorization.

1348345395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 745 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 1348345395 is about 36719.8229162397. The cubic root of 1348345395 is about 1104.7577378169.

The spelling of 1348345395 in words is "one billion, three hundred forty-eight million, three hundred forty-five thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 199 255 289 521 597 765 867 995 1445 1563 1791 2601 2605 2985 3383 4335 4689 7815 8857 8955 10149 13005 16915 23445 26571 30447 44285 50745 57511 79713 103679 132855 150569 152235 172533 287555 311037 398565 451707 517599 518395 752845 862665 933111 1355121 1555185 1762543 2258535 2587995 4665555 5287629 6775605 8812715 15862887 26438145 29963231 79314435 89889693 149816155 269669079 449448465 1348345395