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2264304 = 243723293
BaseRepresentation
bin1000101000110011110000
311021001001010
420220303300
51034424204
6120310520
725150320
oct10506360
94231033
102264304
111307229
12912440
13613833
1442d280
152ead89
hex228cf0

2264304 has 80 divisors (see below), whose sum is σ = 6999552. Its totient is φ = 616704.

The previous prime is 2264299. The next prime is 2264309. The reversal of 2264304 is 4034622.

It is an interprime number because it is at equal distance from previous prime (2264299) and next prime (2264309).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264309) 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, 7582 + ... + 7874.

22264304 is an apocalyptic number.

2264304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499776).

2264304 is an abundant number, since it is smaller than the sum of its proper divisors (4735248).

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

2264304 is a wasteful number, since it uses less digits than its factorization.

2264304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2264304 is about 1504.7604460511. The cubic root of 2264304 is about 131.3141654511.

Adding to 2264304 its reverse (4034622), we get a palindrome (6298926).

The spelling of 2264304 in words is "two million, two hundred sixty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 293 322 336 368 483 552 586 644 879 966 1104 1172 1288 1758 1932 2051 2344 2576 3516 3864 4102 4688 6153 6739 7032 7728 8204 12306 13478 14064 16408 20217 24612 26956 32816 40434 47173 49224 53912 80868 94346 98448 107824 141519 161736 188692 283038 323472 377384 566076 754768 1132152 2264304