Search a number
-
+
3922043328 = 263774003
BaseRepresentation
bin1110100111000101…
…1010000111000000
3101010100000110000000
43221301122013000
531013020341303
61445103000000
7166122550440
oct35161320700
911110013000
103922043328
111732989225
12915599000
134a67283c8
14292c60120
1517e4c6da3
hexe9c5a1c0

3922043328 has 224 divisors, whose sum is σ = 13343249920. Its totient is φ = 1120303872.

The previous prime is 3922043291. The next prime is 3922043339. The reversal of 3922043328 is 8233402293.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 3922043292 and 3922043301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977775 + ... + 981777.

It is an arithmetic number, because the mean of its divisors is an integer number (59568080).

Almost surely, 23922043328 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 3922043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671624960).

3922043328 is an abundant number, since it is smaller than the sum of its proper divisors (9421206592).

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

3922043328 is an frugal number, since it uses more digits than its factorization.

3922043328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3922043328 is about 62626.2191737614. The cubic root of 3922043328 is about 1577.0209485841.

The spelling of 3922043328 in words is "three billion, nine hundred twenty-two million, forty-three thousand, three hundred twenty-eight".