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3397248 = 2733983
BaseRepresentation
bin1100111101011010000000
320101121011000
430331122000
51332202443
6200452000
740606341
oct14753200
96347130
103397248
111a10448
12117a000
1391c40a
146460c8
154718d3
hex33d680

3397248 has 64 divisors (see below), whose sum is σ = 10036800. Its totient is φ = 1131264.

The previous prime is 3397243. The next prime is 3397253. The reversal of 3397248 is 8427933.

It is an interprime number because it is at equal distance from previous prime (3397243) and next prime (3397253).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3397243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2965 + ... + 3947.

It is an arithmetic number, because the mean of its divisors is an integer number (156825).

Almost surely, 23397248 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 3397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018400).

3397248 is an abundant number, since it is smaller than the sum of its proper divisors (6639552).

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

3397248 is an equidigital number, since it uses as much as digits as its factorization.

3397248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 988 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3397248 is about 1843.1624996185. The cubic root of 3397248 is about 150.3288783997.

The spelling of 3397248 in words is "three million, three hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 983 1152 1728 1966 2949 3456 3932 5898 7864 8847 11796 15728 17694 23592 26541 31456 35388 47184 53082 62912 70776 94368 106164 125824 141552 188736 212328 283104 377472 424656 566208 849312 1132416 1698624 3397248