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376425144 = 23346189107
BaseRepresentation
bin10110011011111…
…100101010111000
3222020022101020000
4112123330222320
51232331101034
6101204033000
712220363254
oct2633745270
9866271200
10376425144
11183533867
12a6092760
135cca8c94
1437dc9264
15230a8599
hex166fcab8

376425144 has 160 divisors (see below), whose sum is σ = 1093791600. Its totient is φ = 120890880.

The previous prime is 376425113. The next prime is 376425151. The reversal of 376425144 is 441524673.

376425144 is a `hidden beast` number, since 3 + 7 + 642 + 5 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 376425099 and 376425108.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3517939 + ... + 3518045.

Almost surely, 2376425144 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 376425144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546895800).

376425144 is an abundant number, since it is smaller than the sum of its proper divisors (717366456).

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

376425144 is a wasteful number, since it uses less digits than its factorization.

376425144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 376425144 is about 19401.6788964254. The cubic root of 376425144 is about 722.0371473842.

The spelling of 376425144 in words is "three hundred seventy-six million, four hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 89 107 108 122 162 178 183 214 216 244 267 321 324 356 366 428 488 534 549 642 648 712 732 801 856 963 1068 1098 1284 1464 1602 1647 1926 2136 2196 2403 2568 2889 3204 3294 3852 4392 4806 4941 5429 5778 6408 6527 6588 7209 7704 8667 9523 9612 9882 10858 11556 13054 13176 14418 16287 17334 19046 19224 19581 19764 21716 23112 26108 28569 28836 32574 34668 38092 39162 39528 43432 48861 52216 57138 57672 58743 65148 69336 76184 78324 85707 97722 114276 117486 130296 146583 156648 171414 176229 195444 228552 234972 257121 293166 342828 352458 390888 439749 469944 514242 528687 580903 586332 685656 704916 771363 879498 1028484 1057374 1161806 1172664 1409832 1542726 1742709 1758996 2056968 2114748 2323612 3085452 3485418 3517992 4229496 4647224 5228127 6170904 6970836 10456254 13941672 15684381 20912508 31368762 41825016 47053143 62737524 94106286 125475048 188212572 376425144