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376385364 = 2232194367191
BaseRepresentation
bin10110011011110…
…010111101010100
3222020020100122200
4112123302331110
51232323312424
6101203124500
712220136265
oct2633627524
9866210580
10376385364
11183506993
12a6073730
135cc93b44
1437db896c
152309b8c9
hex166f2f54

376385364 has 144 divisors (see below), whose sum is σ = 1045524480. Its totient is φ = 113762880.

The previous prime is 376385357. The next prime is 376385369. The reversal of 376385364 is 463583673.

376385364 is a `hidden beast` number, since 3 + 7 + 638 + 5 + 3 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376385369) by changing a digit.

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, 1970509 + ... + 1970699.

Almost surely, 2376385364 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 376385364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522762240).

376385364 is an abundant number, since it is smaller than the sum of its proper divisors (669139116).

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

376385364 is a wasteful number, since it uses less digits than its factorization.

376385364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 325 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 376385364 is about 19400.6537003267. The cubic root of 376385364 is about 722.0117119158.

The spelling of 376385364 in words is "three hundred seventy-six million, three hundred eighty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 67 76 86 114 129 134 171 172 191 201 228 258 268 342 382 387 402 516 573 603 684 764 774 804 817 1146 1206 1273 1548 1634 1719 2292 2412 2451 2546 2881 3268 3438 3629 3819 4902 5092 5762 6876 7258 7353 7638 8213 8643 9804 10887 11457 11524 12797 14516 14706 15276 16426 17286 21774 22914 24639 25594 25929 29412 32661 32852 34572 38391 43548 45828 49278 51188 51858 54739 65322 73917 76782 98556 103716 109478 115173 130644 147834 153564 156047 164217 218956 230346 243143 295668 312094 328434 460692 468141 486286 492651 550271 624188 656868 729429 936282 972572 985302 1100542 1404423 1458858 1650813 1872564 1970604 2188287 2201084 2808846 2917716 3301626 4376574 4952439 5617692 6603252 8753148 9904878 10455149 19809756 20910298 31365447 41820596 62730894 94096341 125461788 188192682 376385364