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1424324772 = 223213231131171
BaseRepresentation
bin101010011100101…
…0111100010100100
310200021010012021100
41110321113202210
510404111343042
6353200120100
750203363233
oct12471274244
93607105240
101424324772
11670aa3312
12339006030
13199117530
14d7244b1a
158509c24c
hex54e578a4

1424324772 has 144 divisors (see below), whose sum is σ = 4085198208. Its totient is φ = 415134720.

The previous prime is 1424324711. The next prime is 1424324773. The reversal of 1424324772 is 2774234241.

1424324772 is a `hidden beast` number, since 142 + 43 + 2 + 477 + 2 = 666.

It is a super-2 number, since 2×14243247722 = 4057402112265703968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1424324773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1215747 + ... + 1216917.

It is an arithmetic number, because the mean of its divisors is an integer number (28369432).

Almost surely, 21424324772 is an apocalyptic number.

1424324772 is a gapful number since it is divisible by the number (12) 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 1424324772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042599104).

1424324772 is an abundant number, since it is smaller than the sum of its proper divisors (2660873436).

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

1424324772 is a wasteful number, since it uses less digits than its factorization.

1424324772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1325 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 1424324772 is about 37740.2275032888. The cubic root of 1424324772 is about 1125.1307889425.

The spelling of 1424324772 in words is "one billion, four hundred twenty-four million, three hundred twenty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 113 117 138 156 207 226 234 276 299 339 414 452 468 598 678 828 897 1017 1171 1196 1356 1469 1794 2034 2342 2599 2691 2938 3513 3588 4068 4407 4684 5198 5382 5876 7026 7797 8814 10396 10539 10764 13221 14052 15223 15594 17628 21078 23391 26442 26933 30446 31188 33787 42156 45669 46782 52884 53866 60892 67574 80799 91338 93564 101361 107732 132323 135148 137007 161598 182676 202722 242397 264646 274014 304083 323196 350129 396969 405444 484794 529292 548028 608166 700258 793938 969588 1050387 1190907 1216332 1400516 1587876 1720199 2100774 2381814 3043429 3151161 3440398 4201548 4763628 5160597 6086858 6302322 6880796 9130287 10321194 12173716 12604644 15481791 18260574 20642388 27390861 30963582 36521148 39564577 54781722 61927164 79129154 109563444 118693731 158258308 237387462 356081193 474774924 712162386 1424324772