Search a number
-
+
378148986 = 23417241197
BaseRepresentation
bin10110100010100…
…001100001111010
3222100112221220000
4112202201201322
51233301231421
6101305013430
712241133115
oct2642414172
9870487800
10378148986
11184500a26
12a6784276
13604607c7
143831757c
15232e9226
hex168a187a

378148986 has 120 divisors (see below), whose sum is σ = 926743356. Its totient is φ = 115153920.

The previous prime is 378148937. The next prime is 378148993. The reversal of 378148986 is 689841873.

378148986 is a `hidden beast` number, since 3 + 7 + 81 + 489 + 86 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 306425025 + 71723961 = 17505^2 + 8469^2 .

It is a super-2 number, since 2×3781489862 = 285993311225656392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1919440 + ... + 1919636.

Almost surely, 2378148986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378148986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463371678).

378148986 is an abundant number, since it is smaller than the sum of its proper divisors (548594370).

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

378148986 is a wasteful number, since it uses less digits than its factorization.

378148986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 260 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 378148986 is about 19446.0532242406. The cubic root of 378148986 is about 723.1376608107.

The spelling of 378148986 in words is "three hundred seventy-eight million, one hundred forty-eight thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 81 82 102 123 153 162 197 246 289 306 369 394 459 578 591 697 738 867 918 1107 1182 1377 1394 1734 1773 2091 2214 2601 2754 3321 3349 3546 4182 5202 5319 6273 6642 6698 7803 8077 10047 10638 11849 12546 15606 15957 16154 18819 20094 23409 23698 24231 30141 31914 35547 37638 46818 48462 56457 56933 60282 71094 72693 90423 106641 112914 113866 137309 145386 170799 180846 213282 218079 271269 274618 319923 341598 411927 436158 512397 542538 639846 654237 823854 959769 1024794 1235781 1308474 1537191 1919538 2334253 2471562 3074382 3707343 4611573 4668506 7002759 7414686 9223146 11122029 14005518 21008277 22244058 42016554 63024831 126049662 189074493 378148986