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4069344 = 253192397
BaseRepresentation
bin1111100001011111100000
321122202002110
433201133200
52020204334
6223115320
746405656
oct17413740
97582073
104069344
11232a3a4
121442b40
13ac62c6
1477cdd6
15555ae9
hex3e17e0

4069344 has 96 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 1216512.

The previous prime is 4069343. The next prime is 4069349. The reversal of 4069344 is 4439604.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4069343) 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, 41904 + ... + 42000.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

Almost surely, 24069344 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 4069344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927040).

4069344 is an abundant number, since it is smaller than the sum of its proper divisors (7784736).

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

4069344 is a wasteful number, since it uses less digits than its factorization.

4069344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4069344 is about 2017.2615100675. The cubic root of 4069344 is about 159.6521610149.

The spelling of 4069344 in words is "four million, sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 97 114 138 152 184 194 228 276 291 304 368 388 437 456 552 582 608 736 776 874 912 1104 1164 1311 1552 1748 1824 1843 2208 2231 2328 2622 3104 3496 3686 4462 4656 5244 5529 6693 6992 7372 8924 9312 10488 11058 13386 13984 14744 17848 20976 22116 26772 29488 35696 41952 42389 44232 53544 58976 71392 84778 88464 107088 127167 169556 176928 214176 254334 339112 508668 678224 1017336 1356448 2034672 4069344