Search a number
-
+
1021412304 = 243211231261
BaseRepresentation
bin111100111000011…
…000001111010000
32122011222010021100
4330320120033100
54042440143204
6245204224400
734211601303
oct7470301720
92564863240
101021412304
11484619200
1224609b100
131337c63a3
1499922b3a
155ea10a39
hex3ce183d0

1021412304 has 270 divisors, whose sum is σ = 3299876034. Its totient is φ = 294624000.

The previous prime is 1021412303. The next prime is 1021412323. The reversal of 1021412304 is 4032141201.

It can be written as a sum of positive squares in only one way, i.e., 602800704 + 418611600 = 24552^2 + 20460^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021412303) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16744434 + ... + 16744494.

Almost surely, 21021412304 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 1021412304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649938017).

1021412304 is an abundant number, since it is smaller than the sum of its proper divisors (2278463730).

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

1021412304 is a wasteful number, since it uses less digits than its factorization.

1021412304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1021412304 is about 31959.5416738100. The cubic root of 1021412304 is about 1007.0870891796.

Adding to 1021412304 its reverse (4032141201), we get a palindrome (5053553505).

The spelling of 1021412304 in words is "one billion, twenty-one million, four hundred twelve thousand, three hundred four".