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2861364 = 2231153409
BaseRepresentation
bin1010111010100100110100
312101101001110
422322210310
51213030424
6141155020
733215112
oct12724464
95341043
102861364
111684870
12b5ba70
1379251c
14546ab2
153b7c29
hex2ba934

2861364 has 48 divisors (see below), whose sum is σ = 7439040. Its totient is φ = 848640.

The previous prime is 2861363. The next prime is 2861377. The reversal of 2861364 is 4631682.

2861364 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2861363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6792 + ... + 7200.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

22861364 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 2861364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719520).

2861364 is an abundant number, since it is smaller than the sum of its proper divisors (4577676).

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

2861364 is a wasteful number, since it uses less digits than its factorization.

2861364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 478 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2861364 is about 1691.5566795115. The cubic root of 2861364 is about 141.9681870147.

The spelling of 2861364 in words is "two million, eight hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 409 583 636 818 1166 1227 1636 1749 2332 2454 3498 4499 4908 6996 8998 13497 17996 21677 26994 43354 53988 65031 86708 130062 238447 260124 476894 715341 953788 1430682 2861364