Search a number
-
+
900234390 = 235115946237
BaseRepresentation
bin110101101010000…
…111110010010110
32022201221122102110
4311222013302112
53320430000030
6225155051450
731210603026
oct6552076226
92281848373
10900234390
11422182470
122115a0b86
13114679293
14877bba86
15540761b0
hex35a87c96

900234390 has 64 divisors (see below), whose sum is σ = 2396977920. Its totient is φ = 214535040.

The previous prime is 900234373. The next prime is 900234397. The reversal of 900234390 is 93432009.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900234397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3649 + ... + 42588.

It is an arithmetic number, because the mean of its divisors is an integer number (37452780).

Almost surely, 2900234390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900234390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198488960).

900234390 is an abundant number, since it is smaller than the sum of its proper divisors (1496743530).

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

900234390 is a wasteful number, since it uses less digits than its factorization.

900234390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46317.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 900234390 is about 30003.9062456874. The cubic root of 900234390 is about 965.5731925368.

Adding to 900234390 its reverse (93432009), we get a palindrome (993666399).

The spelling of 900234390 in words is "nine hundred million, two hundred thirty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 295 330 354 590 649 885 1298 1770 1947 3245 3894 6490 9735 19470 46237 92474 138711 231185 277422 462370 508607 693555 1017214 1387110 1525821 2543035 2727983 3051642 5086070 5455966 7629105 8183949 13639915 15258210 16367898 27279830 30007813 40919745 60015626 81839490 90023439 150039065 180046878 300078130 450117195 900234390