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4234890240 = 210325719691
BaseRepresentation
bin1111110001101011…
…0100110000000000
3101221010200201021200
43330122310300000
532133112441430
61540120221200
7206641654530
oct37432646000
911833621250
104234890240
111883537799
129a230a800
135264a3819
142c26194c0
1519bbc2460
hexfc6b4c00

4234890240 has 528 divisors, whose sum is σ = 17678219520. Its totient is φ = 915701760.

The previous prime is 4234890223. The next prime is 4234890263. The reversal of 4234890240 is 420984324.

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 = 4234890195 and 4234890204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6128295 + ... + 6128985.

Almost surely, 24234890240 is an apocalyptic number.

4234890240 is a gapful number since it is divisible by the number (40) 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 4234890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8839109760).

4234890240 is an abundant number, since it is smaller than the sum of its proper divisors (13443329280).

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

4234890240 is a wasteful number, since it uses less digits than its factorization.

4234890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4234890240 is about 65076.0342983498. The cubic root of 4234890240 is about 1617.8840229525.

The spelling of 4234890240 in words is "four billion, two hundred thirty-four million, eight hundred ninety thousand, two hundred forty".