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5736234240 = 283351179191
BaseRepresentation
bin1010101011110011…
…11111110100000000
3112210202201220002000
411111321333310000
543221433443430
62345111224000
7262102120662
oct52571776400
915722656060
105736234240
112483a55760
121141078000
13705546759
143c5b8c532
152388d4e60
hex155e7fd00

5736234240 has 576 divisors, whose sum is σ = 22605004800. Its totient is φ = 1365811200.

The previous prime is 5736234233. The next prime is 5736234241. The reversal of 5736234240 is 424326375.

5736234240 is a `hidden beast` number, since 5 + 7 + 3 + 623 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×57362342402 = 65808766512296755200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5736234195 and 5736234204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5736234241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30032545 + ... + 30032735.

It is an arithmetic number, because the mean of its divisors is an integer number (39244800).

Almost surely, 25736234240 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 5736234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11302502400).

5736234240 is an abundant number, since it is smaller than the sum of its proper divisors (16868770560).

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

5736234240 is a wasteful number, since it uses less digits than its factorization.

5736234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 5736234240 is about 75737.9313158209. The cubic root of 5736234240 is about 1790.0931299922.

The spelling of 5736234240 in words is "five billion, seven hundred thirty-six million, two hundred thirty-four thousand, two hundred forty".