Search a number
-
+
382301496 = 233212741809
BaseRepresentation
bin10110110010010…
…111010100111000
3222122100221001200
4112302113110320
51240332121441
6101534014200
712321336423
oct2662272470
9878327050
10382301496
11186887855
12a8047360
1361285905
1438ab89ba
15238697b6
hex16c97538

382301496 has 48 divisors (see below), whose sum is σ = 1043577600. Its totient is φ = 126427392.

The previous prime is 382301483. The next prime is 382301497. The reversal of 382301496 is 694103283.

It is a super-4 number, since 4×3823014964 (a number of 35 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 382301496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382301497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11761 + ... + 30048.

It is an arithmetic number, because the mean of its divisors is an integer number (21741200).

Almost surely, 2382301496 is an apocalyptic number.

382301496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

382301496 is an abundant number, since it is smaller than the sum of its proper divisors (661276104).

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

382301496 is a wasteful number, since it uses less digits than its factorization.

382301496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41948 (or 41941 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 382301496 is about 19552.5317030813. The cubic root of 382301496 is about 725.7749911724.

The spelling of 382301496 in words is "three hundred eighty-two million, three hundred one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 41809 83618 125427 167236 250854 334472 376281 501708 752562 1003416 1505124 3010248 5309743 10619486 15929229 21238972 31858458 42477944 47787687 63716916 95575374 127433832 191150748 382301496