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20304302424 = 23371928122637
BaseRepresentation
bin10010111010001110…
…110001000101011000
31221102001010102200220
4102322032301011120
5313040400134144
613154435400040
71316105502660
oct227216610530
957361112626
1020304302424
11867a281a2a
123b27a53020
131bb7750b43
14da88991a0
157dc829919
hex4ba3b1158

20304302424 has 128 divisors (see below), whose sum is σ = 61285593600. Its totient is φ = 5476101120.

The previous prime is 20304302413. The next prime is 20304302441. The reversal of 20304302424 is 42420340302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20304302394 and 20304302403.

It is a congruent number.

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, 885634 + ... + 908270.

It is an arithmetic number, because the mean of its divisors is an integer number (478793700).

Almost surely, 220304302424 is an apocalyptic number.

20304302424 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 20304302424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30642796800).

20304302424 is an abundant number, since it is smaller than the sum of its proper divisors (40981291176).

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

20304302424 is a wasteful number, since it uses less digits than its factorization.

20304302424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22953 (or 22949 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 20304302424 its reverse (42420340302), we get a palindrome (62724642726).

The spelling of 20304302424 in words is "twenty billion, three hundred four million, three hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 281 399 456 532 562 798 843 1064 1124 1596 1686 1967 2248 3192 3372 3934 5339 5901 6744 7868 10678 11802 15736 16017 21356 22637 23604 32034 37373 42712 45274 47208 64068 67911 74746 90548 112119 128136 135822 149492 158459 181096 224238 271644 298984 316918 430103 448476 475377 543288 633836 860206 896952 950754 1267672 1290309 1720412 1901508 2580618 3010721 3440824 3803016 5161236 6021442 6360997 9032163 10322472 12042884 12721994 18064326 19082991 24085768 25443988 36128652 38165982 44526979 50887976 72257304 76331964 89053958 120858943 133580937 152663928 178107916 241717886 267161874 356215832 362576829 483435772 534323748 725153658 846012601 966871544 1068647496 1450307316 1692025202 2538037803 2900614632 3384050404 5076075606 6768100808 10152151212 20304302424