Search a number
-
+
1021000340 = 225198113313
BaseRepresentation
bin111100110110110…
…011101010010100
32122011012012011102
4330312303222110
54042334002330
6245151325232
734205234243
oct7466635224
92564165142
101021000340
11484367738
12245b20818
131336b0a19
149985695a
155e97d945
hex3cdb3a94

1021000340 has 48 divisors (see below), whose sum is σ = 2260413120. Its totient is φ = 386311680.

The previous prime is 1021000333. The next prime is 1021000367. The reversal of 1021000340 is 430001201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306524 + ... + 309836.

It is an arithmetic number, because the mean of its divisors is an integer number (47091940).

Almost surely, 21021000340 is an apocalyptic number.

1021000340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130206560).

1021000340 is an abundant number, since it is smaller than the sum of its proper divisors (1239412780).

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

1021000340 is a wasteful number, since it uses less digits than its factorization.

1021000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1021000340 is about 31953.0959376396. The cubic root of 1021000340 is about 1006.9516755585.

Adding to 1021000340 its reverse (430001201), we get a palindrome (1451001541).

The spelling of 1021000340 in words is "one billion, twenty-one million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 811 1622 3244 3313 4055 6626 8110 13252 15409 16220 16565 30818 33130 61636 62947 66260 77045 125894 154090 251788 308180 314735 629470 1258940 2686843 5373686 10747372 13434215 26868430 51050017 53736860 102100034 204200068 255250085 510500170 1021000340