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379242375 = 353171931101
BaseRepresentation
bin10110100110101…
…100011110000111
3222102121111201220
4112212230132013
51234041224000
6101344251423
712253335621
oct2646543607
9872544656
10379242375
11185088456
12a7010b73
1360754395
143851dc11
15234631a0
hex169ac787

379242375 has 128 divisors (see below), whose sum is σ = 733224960. Its totient is φ = 172800000.

The previous prime is 379242359. The next prime is 379242379. The reversal of 379242375 is 573242973.

It is not a de Polignac number, because 379242375 - 24 = 379242359 is a prime.

It is a super-3 number, since 3×3792423753 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379242379) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3754825 + ... + 3754925.

It is an arithmetic number, because the mean of its divisors is an integer number (5728320).

Almost surely, 2379242375 is an apocalyptic number.

379242375 is a deficient number, since it is larger than the sum of its proper divisors (353982585).

379242375 is a wasteful number, since it uses less digits than its factorization.

379242375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The square root of 379242375 is about 19474.1463227531. The cubic root of 379242375 is about 723.8339559748.

The spelling of 379242375 in words is "three hundred seventy-nine million, two hundred forty-two thousand, three hundred seventy-five".

Divisors: 1 3 5 15 17 19 25 31 51 57 75 85 93 95 101 125 155 255 285 303 323 375 425 465 475 505 527 589 775 969 1275 1425 1515 1581 1615 1717 1767 1919 2125 2325 2375 2525 2635 2945 3131 3875 4845 5151 5757 6375 7125 7575 7905 8075 8585 8835 9393 9595 10013 11625 12625 13175 14725 15655 24225 25755 28785 30039 32623 37875 39525 40375 42925 44175 46965 47975 50065 53227 59489 65875 73625 78275 97869 121125 128775 143925 150195 159681 163115 178467 197625 214625 220875 234825 239875 250325 266135 297445 391375 489345 643875 719625 750975 798405 815575 892335 1011313 1174125 1251625 1330675 1487225 2446725 3033939 3754875 3992025 4077875 4461675 5056565 6653375 7436125 12233625 15169695 19960125 22308375 25282825 75848475 126414125 379242375