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4343238144 = 293574987
BaseRepresentation
bin1000000101110000…
…01000111000000000
3102012200120100200000
410002320020320000
532343332110034
61554550400000
7212425625610
oct40270107000
912180510600
104343238144
111929710113
12a12660000
13542a7abcb
142d2b80a40
151a6475599
hex102e08e00

4343238144 has 240 divisors, whose sum is σ = 14859132288. Its totient is φ = 1240676352.

The previous prime is 4343238127. The next prime is 4343238173. The reversal of 4343238144 is 4418323434.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4343238099 and 4343238108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868419 + ... + 873405.

Almost surely, 24343238144 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 4343238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429566144).

4343238144 is an abundant number, since it is smaller than the sum of its proper divisors (10515894144).

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

4343238144 is an frugal number, since it uses more digits than its factorization.

4343238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 4999 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 4343238144 is about 65903.2483569664. The cubic root of 4343238144 is about 1631.5656283429.

The spelling of 4343238144 in words is "four billion, three hundred forty-three million, two hundred thirty-eight thousand, one hundred forty-four".