Search a number
-
+
900429348 = 2237133167397
BaseRepresentation
bin110101101010110…
…111011000100100
32022202022112212010
4311222313120210
53321002214343
6225203154220
731212344310
oct6552673044
92282275763
10900429348
114222a5995
12211675970
13114716c40
148782cb40
15540b3d33
hex35ab7624

900429348 has 192 divisors, whose sum is σ = 2715926528. Its totient is φ = 225815040.

The previous prime is 900429347. The next prime is 900429353. The reversal of 900429348 is 843924009.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (900429347) 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, 2267886 + ... + 2268282.

Almost surely, 2900429348 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 900429348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357963264).

900429348 is an abundant number, since it is smaller than the sum of its proper divisors (1815497180).

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

900429348 is a wasteful number, since it uses less digits than its factorization.

900429348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 900429348 is about 30007.1549467789. The cubic root of 900429348 is about 965.6428901745.

The spelling of 900429348 in words is "nine hundred million, four hundred twenty-nine thousand, three hundred forty-eight".