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2263734 = 2331137103
BaseRepresentation
bin1000101000101010110110
311021000021000
420220222312
51034414414
6120304130
725145544
oct10505266
94230230
102263734
111306860
12912046
136134b5
1442cd94
152eab09
hex228ab6

2263734 has 64 divisors (see below), whose sum is σ = 5690880. Its totient is φ = 660960.

The previous prime is 2263721. The next prime is 2263739. The reversal of 2263734 is 4373622.

2263734 is a `hidden beast` number, since 22 + 637 + 3 + 4 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2263698 and 2263707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21927 + ... + 22029.

It is an arithmetic number, because the mean of its divisors is an integer number (88920).

22263734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845440).

2263734 is an abundant number, since it is smaller than the sum of its proper divisors (3427146).

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

2263734 is a wasteful number, since it uses less digits than its factorization.

2263734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 2263734 is about 1504.5710352124. The cubic root of 2263734 is about 131.3031458242.

The spelling of 2263734 in words is "two million, two hundred sixty-three thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 103 111 198 206 222 297 309 333 407 594 618 666 814 927 999 1133 1221 1854 1998 2266 2442 2781 3399 3663 3811 5562 6798 7326 7622 10197 10989 11433 20394 21978 22866 30591 34299 41921 61182 68598 83842 102897 125763 205794 251526 377289 754578 1131867 2263734