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2869344 = 253741
BaseRepresentation
bin1010111100100001100000
312101210000000
422330201200
51213304334
6141300000
733250302
oct12744140
95353000
102869344
11168a865
12b64600
1379604a
14549972
153ba299
hex2bc860

2869344 has 96 divisors (see below), whose sum is σ = 8678880. Its totient is φ = 933120.

The previous prime is 2869327. The next prime is 2869351. The reversal of 2869344 is 4439682.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) 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 (36).

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

Its product of digits (41472) is a multiple of the sum of its prime factors (72).

It is a junction number, because it is equal to n+sod(n) for n = 2869299 and 2869308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69964 + ... + 70004.

It is an arithmetic number, because the mean of its divisors is an integer number (90405).

22869344 is an apocalyptic number.

2869344 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 2869344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339440).

2869344 is an abundant number, since it is smaller than the sum of its proper divisors (5809536).

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

2869344 is an frugal number, since it uses more digits than its factorization.

2869344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2869344 is about 1693.9138112667. The cubic root of 2869344 is about 142.1000419134.

The spelling of 2869344 in words is "two million, eight hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 81 82 96 108 123 144 162 164 216 243 246 288 324 328 369 432 486 492 648 656 729 738 864 972 984 1107 1296 1312 1458 1476 1944 1968 2187 2214 2592 2916 2952 3321 3888 3936 4374 4428 5832 5904 6642 7776 8748 8856 9963 11664 11808 13284 17496 17712 19926 23328 26568 29889 34992 35424 39852 53136 59778 69984 79704 89667 106272 119556 159408 179334 239112 318816 358668 478224 717336 956448 1434672 2869344