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404009694 = 234111911187
BaseRepresentation
bin11000000101001…
…011001011011110
31001011012211010000
4120011023023132
51311411302234
6104031155130
713004011554
oct3005131336
91034184100
10404009694
11198064510
12b3375aa6
13659166ba
143b929bd4
1525706899
hex1814b2de

404009694 has 80 divisors (see below), whose sum is σ = 993586176. Its totient is φ = 121683600.

The previous prime is 404009693. The next prime is 404009707. The reversal of 404009694 is 496900404.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404009693) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 339769 + ... + 340955.

Almost surely, 2404009694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404009694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496793088).

404009694 is an abundant number, since it is smaller than the sum of its proper divisors (589576482).

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

404009694 is a wasteful number, since it uses less digits than its factorization.

404009694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 404009694 is about 20099.9923880583. The cubic root of 404009694 is about 739.2600919376.

The spelling of 404009694 in words is "four hundred four million, nine thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 191 198 297 382 573 594 891 1146 1187 1719 1782 2101 2374 3438 3561 4202 5157 6303 7122 10314 10683 12606 13057 15471 18909 21366 26114 30942 32049 37818 39171 56727 64098 78342 96147 113454 117513 170181 192294 226717 235026 340362 352539 453434 680151 705078 1057617 1360302 2040453 2115234 2493887 4080906 4987774 6121359 7481661 12242718 14963322 18364077 22444983 36728154 44889966 67334949 134669898 202004847 404009694