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423424296 = 233223211117
BaseRepresentation
bin11001001111001…
…111000100101000
31002111202011221100
4121033033010220
51331344034141
6110003241400
713331022111
oct3117170450
91074664840
10423424296
111a8014a39
12b9979260
1369953529
1440341208
152728e0b6
hex193cf128

423424296 has 72 divisors (see below), whose sum is σ = 1198909530. Its totient is φ = 134992704.

The previous prime is 423424283. The next prime is 423424307. The reversal of 423424296 is 692424324.

It can be written as a sum of positive squares in only one way, i.e., 411521796 + 11902500 = 20286^2 + 3450^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×4234242963 (a number of 27 digits) contains 333 as substring.

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 a self number, because there is not a number n which added to its sum of digits gives 423424296.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32530 + ... + 43646.

Almost surely, 2423424296 is an apocalyptic number.

423424296 is a gapful number since it is divisible by the number (46) 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 423424296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599454765).

423424296 is an abundant number, since it is smaller than the sum of its proper divisors (775485234).

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

423424296 is a wasteful number, since it uses less digits than its factorization.

423424296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11175 (or 11145 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 423424296 is about 20577.2762045903. The cubic root of 423424296 is about 750.9169797406.

The spelling of 423424296 in words is "four hundred twenty-three million, four hundred twenty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 828 1058 1587 1656 2116 3174 4232 4761 6348 9522 11117 12696 19044 22234 33351 38088 44468 66702 88936 100053 133404 200106 255691 266808 400212 511382 767073 800424 1022764 1534146 2045528 2301219 3068292 4602438 5880893 6136584 9204876 11761786 17642679 18409752 23523572 35285358 47047144 52928037 70570716 105856074 141141432 211712148 423424296