Search a number
-
+
2613344364 = 2233234312441
BaseRepresentation
bin1001101111000100…
…0111100001101100
320202010110122112000
42123301013201230
520323004004424
61111153012300
7121522026531
oct23361074154
96663418460
102613344364
11112118a334
1260b254090
13328565b17
141ab116d88
151046693c9
hex9bc4786c

2613344364 has 96 divisors (see below), whose sum is σ = 7089223680. Its totient is φ = 830966400.

The previous prime is 2613344351. The next prime is 2613344369. The reversal of 2613344364 is 4634433162.

2613344364 is a `hidden beast` number, since 2 + 613 + 3 + 4 + 4 + 36 + 4 = 666.

2613344364 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (2613344369) 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, 1069384 + ... + 1071824.

It is an arithmetic number, because the mean of its divisors is an integer number (73846080).

Almost surely, 22613344364 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 2613344364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544611840).

2613344364 is an abundant number, since it is smaller than the sum of its proper divisors (4475879316).

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

2613344364 is a wasteful number, since it uses less digits than its factorization.

2613344364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2900 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 2613344364 is about 51120.8799220045. The cubic root of 2613344364 is about 1377.4173435119.

The spelling of 2613344364 in words is "two billion, six hundred thirteen million, three hundred forty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 431 621 828 862 1242 1293 1724 2441 2484 2586 3879 4882 5172 7323 7758 9764 9913 11637 14646 15516 19826 21969 23274 29292 29739 39652 43938 46548 56143 59478 65907 87876 89217 112286 118956 131814 168429 178434 224572 263628 267651 336858 356868 505287 535302 673716 1010574 1052071 1070604 1515861 2021148 2104142 3031722 3156213 4208284 6063444 6312426 9468639 12624852 18937278 24197633 28405917 37874556 48395266 56811834 72592899 96790532 113623668 145185798 217778697 290371596 435557394 653336091 871114788 1306672182 2613344364