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23340469680 = 2433511982343
BaseRepresentation
bin10101101111001100…
…110100110110110000
32020020122012201012000
4111233030310312300
5340300130012210
614420015134000
71454253501363
oct255714646660
966218181160
1023340469680
1199980a5370
124634814300
13227c789508
1411b5bd80da
15919164ac0
hex56f334db0

23340469680 has 160 divisors (see below), whose sum is σ = 87703672320. Its totient is φ = 5658289920.

The previous prime is 23340469661. The next prime is 23340469681. The reversal of 23340469680 is 8696404332.

23340469680 is a `hidden beast` number, since 233 + 404 + 6 + 9 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23340469681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467412 + ... + 514931.

It is an arithmetic number, because the mean of its divisors is an integer number (548147952).

Almost surely, 223340469680 is an apocalyptic number.

23340469680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23340469680 is an abundant number, since it is smaller than the sum of its proper divisors (64363202640).

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

23340469680 is a wasteful number, since it uses less digits than its factorization.

23340469680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982376 (or 982364 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 23340469680 in words is "twenty-three billion, three hundred forty million, four hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 982343 1964686 2947029 3929372 4911715 5894058 7858744 8841087 9823430 10805773 11788116 14735145 15717488 17682174 19646860 21611546 23576232 26523261 29470290 32417319 35364348 39293720 43223092 44205435 47152464 53046522 54028865 58940580 64834638 70728696 78587440 86446184 88410870 97251957 106093044 108057730 117881160 129669276 132616305 141457392 162086595 172892368 176821740 194503914 212186088 216115460 235762320 259338552 265232610 291755871 324173190 353643480 389007828 424372176 432230920 486259785 518677104 530465220 583511742 648346380 707286960 778015656 864461840 972519570 1060930440 1167023484 1296692760 1458779355 1556031312 1945039140 2121860880 2334046968 2593385520 2917558710 3890078280 4668093936 5835117420 7780156560 11670234840 23340469680