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1022000304 = 2431310971493
BaseRepresentation
bin111100111010100…
…111110010110000
32122020001222212010
4330322213302300
54043113002204
6245225002520
734216600503
oct7472476260
92566058763
101022000304
1148498aa56
12246323440
13133970c10
1499a3713a
155eac9d89
hex3cea7cb0

1022000304 has 80 divisors (see below), whose sum is σ = 2847755232. Its totient is φ = 313964544.

The previous prime is 1022000293. The next prime is 1022000323. The reversal of 1022000304 is 4030002201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1022000304.

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, 683782 + ... + 685274.

Almost surely, 21022000304 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 1022000304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423877616).

1022000304 is an abundant number, since it is smaller than the sum of its proper divisors (1825754928).

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

1022000304 is a wasteful number, since it uses less digits than its factorization.

1022000304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1022000304 is about 31968.7394809367. The cubic root of 1022000304 is about 1007.2803032261.

Adding to 1022000304 its reverse (4030002201), we get a palindrome (5052002505).

The spelling of 1022000304 in words is "one billion, twenty-two million, three hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1097 1493 2194 2986 3291 4388 4479 5972 6582 8776 8958 11944 13164 14261 17552 17916 19409 23888 26328 28522 35832 38818 42783 52656 57044 58227 71664 77636 85566 114088 116454 155272 171132 228176 232908 310544 342264 465816 684528 931632 1637821 3275642 4913463 6551284 9826926 13102568 19653852 21291673 26205136 39307704 42583346 63875019 78615408 85166692 127750038 170333384 255500076 340666768 511000152 1022000304