Search a number
-
+
23774364 = 22331723563
BaseRepresentation
bin101101010110…
…0010010011100
31122201212022000
41122230102130
522041234424
62205322300
7406036005
oct132542234
948655260
1023774364
1112469039
127b66390
134c05393
14322c1ac
1521493c9
hex16ac49c

23774364 has 96 divisors (see below), whose sum is σ = 68221440. Its totient is φ = 7121664.

The previous prime is 23774363. The next prime is 23774371. The reversal of 23774364 is 46347732.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23774363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41947 + ... + 42509.

It is an arithmetic number, because the mean of its divisors is an integer number (710640).

Almost surely, 223774364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23774364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34110720).

23774364 is an abundant number, since it is smaller than the sum of its proper divisors (44447076).

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

23774364 is a wasteful number, since it uses less digits than its factorization.

23774364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 608 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 23774364 is about 4875.8962253108. The cubic root of 23774364 is about 287.5431123753.

The spelling of 23774364 in words is "twenty-three million, seven hundred seventy-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 92 102 108 138 153 204 207 276 306 391 414 459 563 612 621 782 828 918 1126 1173 1242 1564 1689 1836 2252 2346 2484 3378 3519 4692 5067 6756 7038 9571 10134 10557 12949 14076 15201 19142 20268 21114 25898 28713 30402 38284 38847 42228 51796 57426 60804 77694 86139 114852 116541 155388 172278 220133 233082 258417 344556 349623 440266 466164 516834 660399 699246 880532 1033668 1320798 1398492 1981197 2641596 3962394 5943591 7924788 11887182 23774364