Search a number
-
+
389243736 = 233276711527
BaseRepresentation
bin10111001100110…
…110001101011000
31000010102122000200
4113030312031120
51244121244421
6102342502200
712434342250
oct2714661530
91003378020
10389243736
1118a799642
12aa434960
136284674b
14399a4960
152428b726
hex17336358

389243736 has 96 divisors (see below), whose sum is σ = 1222890240. Its totient is φ = 109543104.

The previous prime is 389243711. The next prime is 389243741. The reversal of 389243736 is 637342983.

389243736 = T258 + T259 + ... + T1329.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 389243691 and 389243700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28005 + ... + 39531.

It is an arithmetic number, because the mean of its divisors is an integer number (12738440).

Almost surely, 2389243736 is an apocalyptic number.

389243736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389243736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611445120).

389243736 is an abundant number, since it is smaller than the sum of its proper divisors (833646504).

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

389243736 is a wasteful number, since it uses less digits than its factorization.

389243736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11613 (or 11606 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 389243736 is about 19729.2609086098. The cubic root of 389243736 is about 730.1417976880.

The spelling of 389243736 in words is "three hundred eighty-nine million, two hundred forty-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 252 268 402 469 504 536 603 804 938 1206 1407 1608 1876 2412 2814 3752 4221 4824 5628 8442 11256 11527 16884 23054 33768 34581 46108 69162 80689 92216 103743 138324 161378 207486 242067 276648 322756 414972 484134 645512 726201 772309 829944 968268 1452402 1544618 1936536 2316927 2904804 3089236 4633854 5406163 5809608 6178472 6950781 9267708 10812326 13901562 16218489 18535416 21624652 27803124 32436978 43249304 48655467 55606248 64873956 97310934 129747912 194621868 389243736