Search a number
-
+
890331904 = 2871131247
BaseRepresentation
bin110101000100010…
…110001100000000
32022001022112202201
4311010112030000
53310411110104
6224202522544
731030460560
oct6504261400
92261275681
10890331904
114176295a0
1220a206454
131125bcc17
1486360da0
155326c0a4
hex35116300

890331904 has 216 divisors, whose sum is σ = 2338205184. Its totient is φ = 328550400.

The previous prime is 890331877. The next prime is 890331931. The reversal of 890331904 is 409133098.

It is an interprime number because it is at equal distance from previous prime (890331877) and next prime (890331931).

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, 18943209 + ... + 18943255.

It is an arithmetic number, because the mean of its divisors is an integer number (10825024).

Almost surely, 2890331904 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 890331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169102592).

890331904 is an abundant number, since it is smaller than the sum of its proper divisors (1447873280).

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

890331904 is a wasteful number, since it uses less digits than its factorization.

890331904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 890331904 is about 29838.4299855069. The cubic root of 890331904 is about 962.0197292243.

The spelling of 890331904 in words is "eight hundred ninety million, three hundred thirty-one thousand, nine hundred four".