Search a number
-
+
393718038 = 23731910069
BaseRepresentation
bin10111011101111…
…010100100010110
31000102211221121120
4113131322210112
51301242434123
6103022424410
712520356000
oct2735724426
91012757546
10393718038
1119227520a
12aba32106
136375216c
143a40b370
15248722e3
hex1777a916

393718038 has 64 divisors (see below), whose sum is σ = 966720000. Its totient is φ = 106559712.

The previous prime is 393718037. The next prime is 393718043. The reversal of 393718038 is 830817393.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393718037) 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 31 ways as a sum of consecutive naturals, for example, 34068 + ... + 44136.

It is an arithmetic number, because the mean of its divisors is an integer number (15105000).

Almost surely, 2393718038 is an apocalyptic number.

393718038 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 393718038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483360000).

393718038 is an abundant number, since it is smaller than the sum of its proper divisors (573001962).

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

393718038 is a wasteful number, since it uses less digits than its factorization.

393718038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10114 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 393718038 is about 19842.3294499411. The cubic root of 393718038 is about 732.9287719420.

The spelling of 393718038 in words is "three hundred ninety-three million, seven hundred eighteen thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 343 399 686 798 931 1029 1862 2058 2793 5586 6517 10069 13034 19551 20138 30207 39102 60414 70483 140966 191311 211449 382622 422898 493381 573933 986762 1147866 1339177 1480143 2678354 2960286 3453667 4017531 6907334 8035062 9374239 10361001 18748478 20722002 28122717 56245434 65619673 131239346 196859019 393718038