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20340497424 = 24313194493821
BaseRepresentation
bin10010111100011000…
…110101110000010000
31221111120020022220110
4102330120311300100
5313124131404144
613202211241320
71320025242522
oct227430656020
957446208813
1020340497424
118698753855
123b37ba9240
131bc20b47c0
14dad5dba12
157e0ac90b9
hex4bc635c10

20340497424 has 160 divisors (see below), whose sum is σ = 59714928000. Its totient is φ = 5914460160.

The previous prime is 20340497417. The next prime is 20340497461. The reversal of 20340497424 is 42479404302.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5321434 + ... + 5325254.

It is an arithmetic number, because the mean of its divisors is an integer number (373218300).

Almost surely, 220340497424 is an apocalyptic number.

20340497424 is a gapful number since it is divisible by the number (24) 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 20340497424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29857464000).

20340497424 is an abundant number, since it is smaller than the sum of its proper divisors (39374430576).

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

20340497424 is a wasteful number, since it uses less digits than its factorization.

20340497424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 20340497424 in words is "twenty billion, three hundred forty million, four hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 449 456 494 624 741 898 912 988 1347 1482 1796 1976 2694 2964 3592 3821 3952 5388 5837 5928 7184 7642 8531 10776 11463 11674 11856 15284 17062 17511 21552 22926 23348 25593 30568 34124 35022 45852 46696 49673 51186 61136 68248 70044 72599 91704 93392 99346 102372 110903 136496 140088 145198 149019 183408 198692 204744 217797 221806 280176 290396 298038 332709 397384 409488 435594 443612 580792 596076 665418 794768 871188 887224 943787 1161584 1192152 1330836 1715629 1742376 1774448 1887574 2384304 2661672 2831361 3431258 3484752 3775148 5146887 5323344 5662722 6862516 7550296 10293774 11325444 13725032 15100592 20587548 22303177 22650888 27450064 32596951 41175096 44606354 45301776 65193902 66909531 82350192 89212708 97790853 130387804 133819062 178425416 195581706 260775608 267638124 356850832 391163412 423760363 521551216 535276248 782326824 847520726 1070552496 1271281089 1564653648 1695041452 2542562178 3390082904 5085124356 6780165808 10170248712 20340497424