Search a number
-
+
904430640 = 243510336587
BaseRepresentation
bin110101111010001…
…000010000110000
32100000211211121010
4311322020100300
53323013240030
6225425030520
731261351011
oct6572102060
92300754533
10904430640
11424589143
12212a85440
131154b8279
1488191008
15546046b0
hex35e88430

904430640 has 80 divisors (see below), whose sum is σ = 2831033088. Its totient is φ = 238833408.

The previous prime is 904430629. The next prime is 904430641. The reversal of 904430640 is 46034409.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 904430598 and 904430607.

It is not an unprimeable number, because it can be changed into a prime (904430641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6427 + ... + 43013.

Almost surely, 2904430640 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 904430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415516544).

904430640 is an abundant number, since it is smaller than the sum of its proper divisors (1926602448).

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

904430640 is a wasteful number, since it uses less digits than its factorization.

904430640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36706 (or 36700 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 904430640 is about 30073.7533407455. The cubic root of 904430640 is about 967.0711384402.

The spelling of 904430640 in words is "nine hundred four million, four hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 6180 8240 12360 24720 36587 73174 109761 146348 182935 219522 292696 365870 439044 548805 585392 731740 878088 1097610 1463480 1756176 2195220 2926960 3768461 4390440 7536922 8780880 11305383 15073844 18842305 22610766 30147688 37684610 45221532 56526915 60295376 75369220 90443064 113053830 150738440 180886128 226107660 301476880 452215320 904430640