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3368960 = 2115747
BaseRepresentation
bin1100110110100000000000
320100011100022
430312200000
51330301320
6200113012
740431020
oct14664000
96304308
103368960
1119a1171
121165768
1390c58a
14639a80
15468325
hex336800

3368960 has 96 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 1130496.

The previous prime is 3368957. The next prime is 3368993. The reversal of 3368960 is 698633.

3368960 = T199 + T200 + ... + T303.

It is a super-2 number, since 2×33689602 = 22699782963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3368960.

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, 71657 + ... + 71703.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 23368960 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 3368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

3368960 is an abundant number, since it is smaller than the sum of its proper divisors (6065920).

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

3368960 is an equidigital number, since it uses as much as digits as its factorization.

3368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3368960 is about 1835.4726911616. The cubic root of 3368960 is about 149.9104650858.

The spelling of 3368960 in words is "three million, three hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 256 280 320 329 376 448 470 512 560 640 658 752 896 940 1024 1120 1280 1316 1504 1645 1792 1880 2048 2240 2560 2632 3008 3290 3584 3760 4480 5120 5264 6016 6580 7168 7520 8960 10240 10528 12032 13160 14336 15040 17920 21056 24064 26320 30080 35840 42112 48128 52640 60160 71680 84224 96256 105280 120320 168448 210560 240640 336896 421120 481280 673792 842240 1684480 3368960