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940693404 = 223759347547
BaseRepresentation
bin111000000100011…
…101011110011100
32102120002011202110
4320010131132130
53411304142104
6233202154020
732211522240
oct7004353634
92376064673
10940693404
11442aa6972
12223052910
1311cb73a21
148cd10420
15578b8e89
hex3811d79c

940693404 has 96 divisors (see below), whose sum is σ = 2563061760. Its totient is φ = 262971072.

The previous prime is 940693393. The next prime is 940693409. The reversal of 940693404 is 404396049.

940693404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (940693409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1719459 + ... + 1720005.

It is an arithmetic number, because the mean of its divisors is an integer number (26698560).

Almost surely, 2940693404 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 940693404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281530880).

940693404 is an abundant number, since it is smaller than the sum of its proper divisors (1622368356).

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

940693404 is a wasteful number, since it uses less digits than its factorization.

940693404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 940693404 is about 30670.7255212523. The cubic root of 940693404 is about 979.8269179267.

The spelling of 940693404 in words is "nine hundred forty million, six hundred ninety-three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 347 354 413 547 694 708 826 1041 1094 1239 1388 1641 1652 2082 2188 2429 2478 3282 3829 4164 4858 4956 6564 7287 7658 9716 11487 14574 15316 20473 22974 29148 32273 40946 45948 61419 64546 81892 96819 122838 129092 143311 189809 193638 225911 245676 286622 379618 387276 429933 451822 569427 573244 677733 759236 859866 903644 1138854 1328663 1355466 1719732 2277708 2657326 2710932 3985989 5314652 7971978 11198731 15943956 22397462 33596193 44794924 67192386 78391117 134384772 156782234 235173351 313564468 470346702 940693404