Search a number
-
+
2240328 = 23317319
BaseRepresentation
bin1000100010111101001000
311012211011010
420202331020
51033142303
6120003520
725020366
oct10427510
94184133
102240328
1112a0212
129005a0
1360594c
14424636
152e3c03
hex222f48

2240328 has 64 divisors (see below), whose sum is σ = 6264000. Its totient is φ = 665856.

The previous prime is 2240323. The next prime is 2240341. The reversal of 2240328 is 8230422.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2240321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117903 + ... + 117921.

It is an arithmetic number, because the mean of its divisors is an integer number (97875).

22240328 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 2240328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132000).

2240328 is an abundant number, since it is smaller than the sum of its proper divisors (4023672).

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

2240328 is a wasteful number, since it uses less digits than its factorization.

2240328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2240328 is about 1496.7725278077. The cubic root of 2240328 is about 130.8490384634.

The spelling of 2240328 in words is "two million, two hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 289 323 408 456 578 646 867 969 1156 1292 1734 1938 2312 2584 3468 3876 4913 5491 6936 7752 9826 10982 14739 16473 19652 21964 29478 32946 39304 43928 58956 65892 93347 117912 131784 186694 280041 373388 560082 746776 1120164 2240328