Search a number
-
+
3614666004 = 22321723325349
BaseRepresentation
bin1101011101110011…
…0110110100010100
3100022220122001120200
43113130312310110
524400323303004
61354402500500
7155401103565
oct32734666424
910286561520
103614666004
111595426084
1284a664730
13457b46731
142640ca16c
1516250c239
hexd7736d14

3614666004 has 72 divisors (see below), whose sum is σ = 9716452200. Its totient is φ = 1129101312.

The previous prime is 3614665997. The next prime is 3614666017. The reversal of 3614666004 is 4006664163.

It can be written as a sum of positive squares in 4 ways, for example, as 355397904 + 3259268100 = 18852^2 + 57090^2 .

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 3614666004.

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, 129922 + ... + 155270.

It is an arithmetic number, because the mean of its divisors is an integer number (134950725).

Almost surely, 23614666004 is an apocalyptic number.

3614666004 is a gapful number since it is divisible by the number (34) 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 3614666004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858226100).

3614666004 is an abundant number, since it is smaller than the sum of its proper divisors (6101786196).

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

3614666004 is a wasteful number, since it uses less digits than its factorization.

3614666004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25609 (or 25604 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3614666004 is about 60122.0924785557. The cubic root of 3614666004 is about 1534.6972851408.

The spelling of 3614666004 in words is "three billion, six hundred fourteen million, six hundred sixty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 233 306 466 612 699 932 1398 2097 2796 3961 4194 7922 8388 11883 15844 23766 25349 35649 47532 50698 71298 76047 101396 142596 152094 228141 304188 430933 456282 861866 912564 1292799 1723732 2585598 3878397 5171196 5906317 7756794 11812634 15513588 17718951 23625268 35437902 53156853 70875804 100407389 106313706 200814778 212627412 301222167 401629556 602444334 903666501 1204888668 1807333002 3614666004