Search a number
-
+
2368728 = 2332167197
BaseRepresentation
bin1001000010010011011000
311110100021200
421002103120
51101244403
6122434200
726063625
oct11022330
94410250
102368728
11137872a
12962960
1364c21b
1445934c
1531bca3
hex2424d8

2368728 has 48 divisors (see below), whose sum is σ = 6486480. Its totient is φ = 780864.

The previous prime is 2368727. The next prime is 2368733. The reversal of 2368728 is 8278632.

It is a happy number.

It is a super-2 number, since 2×23687282 = 11221744675968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2368692 and 2368701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2368727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11926 + ... + 12122.

It is an arithmetic number, because the mean of its divisors is an integer number (135135).

22368728 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 2368728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243240).

2368728 is an abundant number, since it is smaller than the sum of its proper divisors (4117752).

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

2368728 is a wasteful number, since it uses less digits than its factorization.

2368728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 369 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2368728 is about 1539.0672499927. The cubic root of 2368728 is about 133.3025317739.

The spelling of 2368728 in words is "two million, three hundred sixty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 197 334 394 501 591 668 788 1002 1182 1336 1503 1576 1773 2004 2364 3006 3546 4008 4728 6012 7092 12024 14184 32899 65798 98697 131596 197394 263192 296091 394788 592182 789576 1184364 2368728