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1424672424 = 233278334057
BaseRepresentation
bin101010011101010…
…1100011010101000
310200021202212011100
41110322230122220
510404204004144
6353211401400
750206341630
oct12472543250
93607685140
101424672424
1167121052a
12339153260
13199209846
14d72d56c0
158511a269
hex54eac6a8

1424672424 has 96 divisors (see below), whose sum is σ = 4462960320. Its totient is φ = 402133248.

The previous prime is 1424672407. The next prime is 1424672429. The reversal of 1424672424 is 4242764241.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1424672429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24804 + ... + 58860.

It is an arithmetic number, because the mean of its divisors is an integer number (46489170).

Almost surely, 21424672424 is an apocalyptic number.

1424672424 is a gapful number since it is divisible by the number (14) 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 1424672424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231480160).

1424672424 is an abundant number, since it is smaller than the sum of its proper divisors (3038287896).

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

1424672424 is a wasteful number, since it uses less digits than its factorization.

1424672424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34159 (or 34152 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 1424672424 is about 37744.8330768597. The cubic root of 1424672424 is about 1125.2223228764. Note that the first 3 decimals are identical.

The spelling of 1424672424 in words is "one billion, four hundred twenty-four million, six hundred seventy-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 581 664 747 996 1162 1494 1743 1992 2324 2988 3486 4648 5229 5976 6972 10458 13944 20916 34057 41832 68114 102171 136228 204342 238399 272456 306513 408684 476798 613026 715197 817368 953596 1226052 1430394 1907192 2145591 2452104 2826731 2860788 4291182 5653462 5721576 8480193 8582364 11306924 16960386 17164728 19787117 22613848 25440579 33920772 39574234 50881158 59361351 67841544 79148468 101762316 118722702 158296936 178084053 203524632 237445404 356168106 474890808 712336212 1424672424