Search a number
-
+
3440645244 = 22323711322859
BaseRepresentation
bin1100110100010100…
…0001010001111100
322212210011212222100
43031011001101330
524021301121434
61325224545100
7151156000461
oct31505012174
98783155870
103440645244
111506177773
12800322190
1342aa8727a
14248d4b668
151520d5699
hexcd14147c

3440645244 has 72 divisors (see below), whose sum is σ = 9011686320. Its totient is φ = 1105961472.

The previous prime is 3440645213. The next prime is 3440645287. The reversal of 3440645244 is 4425460443.

3440645244 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 645 + 2 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3440645199 and 3440645208.

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, 139087 + ... + 161945.

It is an arithmetic number, because the mean of its divisors is an integer number (125162310).

Almost surely, 23440645244 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 3440645244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505843160).

3440645244 is an abundant number, since it is smaller than the sum of its proper divisors (5571041076).

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

3440645244 is a wasteful number, since it uses less digits than its factorization.

3440645244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23019 (or 23014 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The square root of 3440645244 is about 58657.0135959887. The cubic root of 3440645244 is about 1509.6628406772.

The spelling of 3440645244 in words is "three billion, four hundred forty million, six hundred forty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 113 148 222 226 333 339 444 452 666 678 1017 1332 1356 2034 4068 4181 8362 12543 16724 22859 25086 37629 45718 50172 68577 75258 91436 137154 150516 205731 274308 411462 822924 845783 1691566 2537349 2583067 3383132 5074698 5166134 7612047 7749201 10149396 10332268 15224094 15498402 23247603 30448188 30996804 46495206 92990412 95573479 191146958 286720437 382293916 573440874 860161311 1146881748 1720322622 3440645244