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3844296 = 2332107499
BaseRepresentation
bin1110101010100011001000
321020022101100
432222203020
51441004141
6214221400
744450601
oct16524310
97208340
103844296
112196305
121354860
13a47a41
14720da8
1550e0b6
hex3aa8c8

3844296 has 48 divisors (see below), whose sum is σ = 10530000. Its totient is φ = 1266912.

The previous prime is 3844277. The next prime is 3844301. The reversal of 3844296 is 6924483.

It is a happy number.

It is a super-2 number, since 2×38442962 = 29557223471232, 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 d-powerful number, because it can be written as 33 + 87 + 4 + 44 + 213 + 95 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 3844296.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7455 + ... + 7953.

It is an arithmetic number, because the mean of its divisors is an integer number (219375).

Almost surely, 23844296 is an apocalyptic number.

3844296 is a gapful number since it is divisible by the number (36) 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 3844296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265000).

3844296 is an abundant number, since it is smaller than the sum of its proper divisors (6685704).

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

3844296 is a wasteful number, since it uses less digits than its factorization.

3844296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 611 counting only the distinct ones).

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

The square root of 3844296 is about 1960.6876344793. The cubic root of 3844296 is about 156.6530806588.

The spelling of 3844296 in words is "three million, eight hundred forty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 499 642 856 963 998 1284 1497 1926 1996 2568 2994 3852 3992 4491 5988 7704 8982 11976 17964 35928 53393 106786 160179 213572 320358 427144 480537 640716 961074 1281432 1922148 3844296