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1334034240 = 263571118047
BaseRepresentation
bin100111110000011…
…1011111101000000
310102222012221221120
41033200323331000
510213003043430
6340212552240
745026050440
oct11740737500
93388187846
101334034240
11625033740
12312922680
131834c3296
14c9260120
157c1b4610
hex4f83bf40

1334034240 has 224 divisors, whose sum is σ = 5280989184. Its totient is φ = 277186560.

The previous prime is 1334034239. The next prime is 1334034241. The reversal of 1334034240 is 424304331.

It is an interprime number because it is at equal distance from previous prime (1334034239) and next prime (1334034241).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1334034240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334034241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64897 + ... + 82943.

Almost surely, 21334034240 is an apocalyptic number.

1334034240 is a gapful number since it is divisible by the number (10) 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 1334034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640494592).

1334034240 is an abundant number, since it is smaller than the sum of its proper divisors (3946954944).

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

1334034240 is a wasteful number, since it uses less digits than its factorization.

1334034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18085 (or 18075 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1334034240 is about 36524.4334658322. The cubic root of 1334034240 is about 1100.8352444153.

Adding to 1334034240 its reverse (424304331), we get a palindrome (1758338571).

The spelling of 1334034240 in words is "one billion, three hundred thirty-four million, thirty-four thousand, two hundred forty".