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4312320 = 28351123
BaseRepresentation
bin10000011100110100000000
322010002101120
4100130310000
52100443240
6232232240
751440235
oct20346400
98102346
104312320
112485a01
12153b680
13b7ca8c
1480378c
155a2ad0
hex41cd00

4312320 has 72 divisors (see below), whose sum is σ = 13784736. Its totient is φ = 1148928.

The previous prime is 4312309. The next prime is 4312331. The reversal of 4312320 is 232134.

It is an interprime number because it is at equal distance from previous prime (4312309) and next prime (4312331).

It is a super-2 number, since 2×43123202 = 37192207564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4312320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3279 + ... + 4401.

Almost surely, 24312320 is an apocalyptic number.

4312320 is a gapful number since it is divisible by the number (40) 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 4312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892368).

4312320 is an abundant number, since it is smaller than the sum of its proper divisors (9472416).

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

4312320 is a wasteful number, since it uses less digits than its factorization.

4312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4312320 is about 2076.6126263702. The cubic root of 4312320 is about 162.7684871201.

Adding to 4312320 its reverse (232134), we get a palindrome (4544454).

The spelling of 4312320 in words is "four million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1123 1280 1920 2246 3369 3840 4492 5615 6738 8984 11230 13476 16845 17968 22460 26952 33690 35936 44920 53904 67380 71872 89840 107808 134760 143744 179680 215616 269520 287488 359360 431232 539040 718720 862464 1078080 1437440 2156160 4312320