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2294964 = 2232721301
BaseRepresentation
bin1000110000010010110100
311022121002200
420300102310
51041414324
6121104500
725335600
oct10602264
94277080
102294964
111328271
12928130
13624789
1443a500
15304ec9
hex2304b4

2294964 has 54 divisors (see below), whose sum is σ = 6753474. Its totient is φ = 655200.

The previous prime is 2294939. The next prime is 2294977. The reversal of 2294964 is 4694922.

It can be written as a sum of positive squares in only one way, i.e., 1192464 + 1102500 = 1092^2 + 1050^2 .

It is a super-2 number, since 2×22949642 = 10533719522592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1114 + ... + 2414.

22294964 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 2294964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376737).

2294964 is an abundant number, since it is smaller than the sum of its proper divisors (4458510).

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

2294964 is a wasteful number, since it uses less digits than its factorization.

2294964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1313 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2294964 is about 1514.9138589372. The cubic root of 2294964 is about 131.9042004624.

The spelling of 2294964 in words is "two million, two hundred ninety-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1301 1764 2602 3903 5204 7806 9107 11709 15612 18214 23418 27321 36428 46836 54642 63749 81963 109284 127498 163926 191247 254996 327852 382494 573741 764988 1147482 2294964