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394407680 = 2852313397
BaseRepresentation
bin10111100000100…
…010111100000000
31000111010222121212
4113200202330000
51301432021210
6103045305252
712526260422
oct2740427400
91014128555
10394407680
111926a6367
12b0105228
1363934034
143a54a812
152495b805
hex17822f00

394407680 has 72 divisors (see below), whose sum is σ = 985878432. Its totient is φ = 150892544.

The previous prime is 394407661. The next prime is 394407731. The reversal of 394407680 is 86704493.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22742 + ... + 36138.

It is an arithmetic number, because the mean of its divisors is an integer number (13692756).

Almost surely, 2394407680 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 394407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492939216).

394407680 is an abundant number, since it is smaller than the sum of its proper divisors (591470752).

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

394407680 is a wasteful number, since it uses less digits than its factorization.

394407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13441 (or 13427 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 394407680 is about 19859.6998970276. The cubic root of 394407680 is about 733.3564584076.

The spelling of 394407680 in words is "three hundred ninety-four million, four hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1840 2944 3680 5888 7360 13397 14720 26794 29440 53588 66985 107176 133970 214352 267940 308131 428704 535880 616262 857408 1071760 1232524 1540655 1714816 2143520 2465048 3081310 3429632 4287040 4930096 6162620 8574080 9860192 12325240 17148160 19720384 24650480 39440768 49300960 78881536 98601920 197203840 394407680