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378811134 = 23313331103
BaseRepresentation
bin10110100101000…
…011001011111110
3222101210121012000
4112211003023332
51233433424014
6101331123130
712246561432
oct2645031376
9871717160
10378811134
11184913459
12a6a434a6
1360633000
143844a9c2
15233ca509
hex169432fe

378811134 has 128 divisors (see below), whose sum is σ = 950476800. Its totient is φ = 111702240.

The previous prime is 378811091. The next prime is 378811157. The reversal of 378811134 is 431118873.

378811134 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3677727 + ... + 3677829.

It is an arithmetic number, because the mean of its divisors is an integer number (7425600).

Almost surely, 2378811134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378811134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475238400).

378811134 is an abundant number, since it is smaller than the sum of its proper divisors (571665666).

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

378811134 is a wasteful number, since it uses less digits than its factorization.

378811134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 152 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 378811134 is about 19463.0710320854. The cubic root of 378811134 is about 723.5594918593.

The spelling of 378811134 in words is "three hundred seventy-eight million, eight hundred eleven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 103 117 169 186 206 234 279 309 338 351 403 507 558 618 702 806 837 927 1014 1209 1339 1521 1674 1854 2197 2418 2678 2781 3042 3193 3627 4017 4394 4563 5239 5562 6386 6591 7254 8034 9126 9579 10478 10881 12051 13182 15717 17407 19158 19773 21762 24102 28737 31434 34814 36153 39546 41509 47151 52221 57474 59319 68107 72306 83018 86211 94302 104442 118638 124527 136214 141453 156663 172422 204321 226291 249054 282906 313326 373581 408642 452582 469989 539617 612963 678873 747162 939978 1079234 1120743 1225926 1357746 1618851 1838889 2036619 2241486 3237702 3677778 4073238 4856553 6109857 7015021 9713106 12219714 14030042 14569659 21045063 29139318 42090126 63135189 126270378 189405567 378811134