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378138345 = 35132433469
BaseRepresentation
bin10110100010011…
…110111011101001
3222100112102021220
4112202132323221
51233300411340
6101304452253
712241060104
oct2642367351
9870472256
10378138345
111844a3a32
12a677a089
1360458a00
143831373b
15232e5ed0
hex1689eee9

378138345 has 48 divisors (see below), whose sum is σ = 670570560. Its totient is φ = 181778688.

The previous prime is 378138317. The next prime is 378138373. The reversal of 378138345 is 543831873.

378138345 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (378138317) and next prime (378138373).

It is not a de Polignac number, because 378138345 - 29 = 378137833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 378138297 and 378138306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107271 + ... + 110739.

It is an arithmetic number, because the mean of its divisors is an integer number (13970220).

Almost surely, 2378138345 is an apocalyptic number.

It is an amenable number.

378138345 is a deficient number, since it is larger than the sum of its proper divisors (292432215).

378138345 is a wasteful number, since it uses less digits than its factorization.

378138345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3533 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 378138345 is about 19445.7796192387. The cubic root of 378138345 is about 723.1308777875.

The spelling of 378138345 in words is "three hundred seventy-eight million, one hundred thirty-eight thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 39 43 65 129 169 195 215 507 559 645 845 1677 2535 2795 3469 7267 8385 10407 17345 21801 36335 45097 52035 109005 135291 149167 225485 447501 586261 676455 745835 1758783 1939171 2237505 2931305 5817513 8793915 9695855 25209223 29087565 75627669 126046115 378138345