Search a number
-
+
940912308 = 223372296131
BaseRepresentation
bin111000000101010…
…010111010110100
32102120111022001000
4320011102322310
53411333143213
6233211003300
732213423400
oct7005227264
92376438030
10940912308
11443136386
12223139530
1311cc1c55b
148cd6a100
155790dc73
hex38152eb4

940912308 has 144 divisors (see below), whose sum is σ = 2936001600. Its totient is φ = 259519680.

The previous prime is 940912237. The next prime is 940912333. The reversal of 940912308 is 803219049.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150403 + ... + 156533.

It is an arithmetic number, because the mean of its divisors is an integer number (20388900).

Almost surely, 2940912308 is an apocalyptic number.

940912308 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940912308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468000800).

940912308 is an abundant number, since it is smaller than the sum of its proper divisors (1995089292).

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

940912308 is a wasteful number, since it uses less digits than its factorization.

940912308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6187 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 940912308 is about 30674.2939283042. The cubic root of 940912308 is about 979.9029155526.

The spelling of 940912308 in words is "nine hundred forty million, nine hundred twelve thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 49 54 58 63 84 87 98 108 116 126 147 174 189 196 203 252 261 294 348 378 406 441 522 588 609 756 783 812 882 1044 1218 1323 1421 1566 1764 1827 2436 2646 2842 3132 3654 4263 5292 5481 5684 6131 7308 8526 10962 12262 12789 17052 18393 21924 24524 25578 36786 38367 42917 51156 55179 73572 76734 85834 110358 128751 153468 165537 171668 177799 220716 257502 300419 331074 355598 386253 515004 533397 600838 662148 711196 772506 901257 1066794 1158759 1201676 1244593 1545012 1600191 1802514 2133588 2317518 2489186 2703771 3200382 3605028 3733779 4635036 4800573 4978372 5407542 6400764 7467558 8111313 8712151 9601146 10815084 11201337 14935116 16222626 17424302 19202292 22402674 26136453 32445252 33604011 34848604 44805348 52272906 67208022 78409359 104545812 134416044 156818718 235228077 313637436 470456154 940912308