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940976946 = 233713533613
BaseRepresentation
bin111000000101100…
…010101100110010
32102120121120201000
4320011202230302
53411342230241
6233212222430
732214113010
oct7005425462
92376546630
10940976946
1144317a9a8
1222316aa16
1311cc42ac0
148cd858b0
1557922eb6
hex38162b32

940976946 has 128 divisors (see below), whose sum is σ = 2622896640. Its totient is φ = 243419904.

The previous prime is 940976837. The next prime is 940976951. The reversal of 940976946 is 649679049.

It is a super-2 number, since 2×9409769462 = 1770875225806973832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 940976892 and 940976901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258636 + ... + 262248.

It is an arithmetic number, because the mean of its divisors is an integer number (20491380).

Almost surely, 2940976946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940976946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311448320).

940976946 is an abundant number, since it is smaller than the sum of its proper divisors (1681919694).

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

940976946 is a wasteful number, since it uses less digits than its factorization.

940976946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 940976946 is about 30675.3475285937. The cubic root of 940976946 is about 979.9253538868.

The spelling of 940976946 in words is "nine hundred forty million, nine hundred seventy-six thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 53 54 63 78 91 106 117 126 159 182 189 234 273 318 351 371 378 477 546 689 702 742 819 954 1113 1378 1431 1638 2067 2226 2457 2862 3339 3613 4134 4823 4914 6201 6678 7226 9646 10017 10839 12402 14469 18603 20034 21678 25291 28938 32517 37206 43407 46969 50582 65034 75873 86814 93938 97551 130221 140907 151746 191489 195102 227619 260442 281814 328783 382978 422721 455238 574467 657566 682857 845442 986349 1148934 1268163 1340423 1365714 1723401 1972698 2489357 2536326 2680846 2959047 3446802 4021269 4978714 5170203 5918094 7468071 8042538 8877141 10340406 12063807 14936142 17425499 17754282 22404213 24127614 34850998 36191421 44808426 52276497 67212639 72382842 104552994 134425278 156829491 313658982 470488473 940976946