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4234716720 = 2433513239631
BaseRepresentation
bin1111110001101000…
…1010011000110000
3101221010100220021000
43330122022120300
532133041413340
61540112402000
7206640332613
oct37432123060
911833326230
104234716720
111883429393
129a2246300
13526442850
142c25b217a
1519bb8ad30
hexfc68a630

4234716720 has 320 divisors, whose sum is σ = 15798988800. Its totient is φ = 1036385280.

The previous prime is 4234716719. The next prime is 4234716721. The reversal of 4234716720 is 276174324.

It is an interprime number because it is at equal distance from previous prime (4234716719) and next prime (4234716721).

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

It is not an unprimeable number, because it can be changed into a prime (4234716721) 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, 6710805 + ... + 6711435.

It is an arithmetic number, because the mean of its divisors is an integer number (49371840).

Almost surely, 24234716720 is an apocalyptic number.

4234716720 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 4234716720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7899494400).

4234716720 is an abundant number, since it is smaller than the sum of its proper divisors (11564272080).

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

4234716720 is a wasteful number, since it uses less digits than its factorization.

4234716720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4234716720 is about 65074.7010749953. The cubic root of 4234716720 is about 1617.8619256408.

The spelling of 4234716720 in words is "four billion, two hundred thirty-four million, seven hundred sixteen thousand, seven hundred twenty".