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2306772 = 2233133153
BaseRepresentation
bin1000110011001011010100
311100012022000
420303023110
51042304042
6121235300
725415166
oct10631324
94305260
102306772
111336126
12932b30
13629c70
14440936
1530874c
hex2332d4

2306772 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 673920.

The previous prime is 2306761. The next prime is 2306797. The reversal of 2306772 is 2776032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43498 + ... + 43550.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

22306772 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 2306772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2306772 is an abundant number, since it is smaller than the sum of its proper divisors (4466988).

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

2306772 is a wasteful number, since it uses less digits than its factorization.

2306772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2306772 is about 1518.8061100746. The cubic root of 2306772 is about 132.1300371437.

The spelling of 2306772 in words is "two million, three hundred six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 53 54 62 78 93 106 108 117 124 156 159 186 212 234 279 318 351 372 403 468 477 558 636 689 702 806 837 954 1116 1209 1378 1404 1431 1612 1643 1674 1908 2067 2418 2756 2862 3286 3348 3627 4134 4836 4929 5724 6201 6572 7254 8268 9858 10881 12402 14508 14787 18603 19716 21359 21762 24804 29574 37206 42718 43524 44361 59148 64077 74412 85436 88722 128154 177444 192231 256308 384462 576693 768924 1153386 2306772