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38140326 = 2327283521
BaseRepresentation
bin1001000101111…
…1100110100110
32122202201200200
42101133212212
534230442301
63441251330
7642121200
oct221374646
978681620
1038140326
111a590434
1210933b46
137b95253
1450cb770
153535c86
hex245f9a6

38140326 has 72 divisors (see below), whose sum is σ = 97474104. Its totient is φ = 10745280.

The previous prime is 38140321. The next prime is 38140339. The reversal of 38140326 is 62304183.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38140326.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38140321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72946 + ... + 73466.

It is an arithmetic number, because the mean of its divisors is an integer number (1353807).

Almost surely, 238140326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38140326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48737052).

38140326 is an abundant number, since it is smaller than the sum of its proper divisors (59333778).

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

38140326 is a wasteful number, since it uses less digits than its factorization.

38140326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38140326 is about 6175.7854561181. The cubic root of 38140326 is about 336.6108678996.

The spelling of 38140326 in words is "thirty-eight million, one hundred forty thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 83 98 126 147 166 249 294 441 498 521 581 747 882 1042 1162 1494 1563 1743 3126 3486 3647 4067 4689 5229 7294 8134 9378 10458 10941 12201 21882 24402 25529 32823 36603 43243 51058 65646 73206 76587 86486 129729 153174 229761 259458 302701 389187 459522 605402 778374 908103 1816206 2118907 2724309 4237814 5448618 6356721 12713442 19070163 38140326