Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
2780328 = 2333137101
BaseRepresentation
bin1010100110110010101000
312020020220010
422212302220
51202432303
6135331520
732426625
oct12466250
95206803
102780328
1116299a1
12b20ba0
13764685
1452534c
1539dc03
hex2a6ca8

2780328 has 64 divisors (see below), whose sum is σ = 7441920. Its totient is φ = 864000.

The previous prime is 2780303. The next prime is 2780329. The reversal of 2780328 is 8230872.

It is a junction number, because it is equal to n+sod(n) for n = 2780295 and 2780304.

It is not an unprimeable number, because it can be changed into a prime (2780329) 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, 27478 + ... + 27578.

It is an arithmetic number, because the mean of its divisors is an integer number (116280).

22780328 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 2780328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720960).

2780328 is an abundant number, since it is smaller than the sum of its proper divisors (4661592).

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

2780328 is a wasteful number, since it uses less digits than its factorization.

2780328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2780328 is about 1667.4315578158. The cubic root of 2780328 is about 140.6151165400.

The spelling of 2780328 in words is "two million, seven hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 101 111 124 148 186 202 222 248 296 303 372 404 444 606 744 808 888 1147 1212 2294 2424 3131 3441 3737 4588 6262 6882 7474 9176 9393 11211 12524 13764 14948 18786 22422 25048 27528 29896 37572 44844 75144 89688 115847 231694 347541 463388 695082 926776 1390164 2780328