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253234416 = 2432329973
BaseRepresentation
bin11110001100000…
…00110011110000
3122122111122022110
433012000303300
51004312000131
641043405320
76163312521
oct1706006360
9578448273
10253234416
1111aa42846
1270983840
1340605966
14258bc848
1517372646
hexf180cf0

253234416 has 60 divisors (see below), whose sum is σ = 683937128. Its totient is φ = 80733312.

The previous prime is 253234403. The next prime is 253234417. The reversal of 253234416 is 614432352.

It is a super-2 number, since 2×2532344162 = 128255338893722112, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253234417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20406 + ... + 30378.

Almost surely, 2253234416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253234416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341968564).

253234416 is an abundant number, since it is smaller than the sum of its proper divisors (430702712).

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

253234416 is a wasteful number, since it uses less digits than its factorization.

253234416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030 (or 10001 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 253234416 is about 15913.3408183197. The cubic root of 253234416 is about 632.6656315537.

Adding to 253234416 its reverse (614432352), we get a palindrome (867666768).

The spelling of 253234416 in words is "two hundred fifty-three million, two hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 529 552 1058 1104 1587 2116 3174 4232 6348 8464 9973 12696 19946 25392 29919 39892 59838 79784 119676 159568 229379 239352 458758 478704 688137 917516 1376274 1835032 2752548 3670064 5275717 5505096 10551434 11010192 15827151 21102868 31654302 42205736 63308604 84411472 126617208 253234416