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1233234240 = 263572379101
BaseRepresentation
bin100100110000001…
…1010100101000000
310011221112210100020
41021200122211000
510011201443430
6322212253440
742363214050
oct11140324500
93157483306
101233234240
11583146157
122a5011280
1316865c604
14b9b01560
1573402b10
hex4981a940

1233234240 has 448 divisors, whose sum is σ = 4775362560. Its totient is φ = 263577600.

The previous prime is 1233234221. The next prime is 1233234253. The reversal of 1233234240 is 424323321.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×12332342403 (a number of 28 digits) contains 333 as substring.

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 1233234240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12210190 + ... + 12210290.

Almost surely, 21233234240 is an apocalyptic number.

1233234240 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 1233234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387681280).

1233234240 is an abundant number, since it is smaller than the sum of its proper divisors (3542128320).

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

1233234240 is a wasteful number, since it uses less digits than its factorization.

1233234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

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

The square root of 1233234240 is about 35117.4349860579. The cubic root of 1233234240 is about 1072.3795529834.

Adding to 1233234240 its reverse (424323321), we get a palindrome (1657557561).

The spelling of 1233234240 in words is "one billion, two hundred thirty-three million, two hundred thirty-four thousand, two hundred forty".