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3394368 = 26327183
BaseRepresentation
bin1100111100101101000000
320101110012100
430330231000
51332104433
6200430400
740565055
oct14745500
96343170
103394368
111a0926a
121178400
1391b003
1464502c
15470b13
hex33cb40

3394368 has 84 divisors (see below), whose sum is σ = 9985248. Its totient is φ = 1102080.

The previous prime is 3394367. The next prime is 3394379. The reversal of 3394368 is 8634933.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40855 + ... + 40937.

It is an arithmetic number, because the mean of its divisors is an integer number (118872).

Almost surely, 23394368 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 3394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992624).

3394368 is an abundant number, since it is smaller than the sum of its proper divisors (6590880).

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

3394368 is a wasteful number, since it uses less digits than its factorization.

3394368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3394368 is about 1842.3810680747. The cubic root of 3394368 is about 150.2863862050.

The spelling of 3394368 in words is "three million, three hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 83 96 142 144 166 192 213 249 284 288 332 426 498 568 576 639 664 747 852 996 1136 1278 1328 1494 1704 1992 2272 2556 2656 2988 3408 3984 4544 5112 5312 5893 5976 6816 7968 10224 11786 11952 13632 15936 17679 20448 23572 23904 35358 40896 47144 47808 53037 70716 94288 106074 141432 188576 212148 282864 377152 424296 565728 848592 1131456 1697184 3394368