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1000212304 = 24721327549
BaseRepresentation
bin111011100111100…
…000011101010000
32120201002001100011
4323213200131100
54022023243204
6243130004304
733533443600
oct7347403520
92521061304
101000212304
11473659343
1223ab76694
1312c2b2a00
1496ba4c00
155cc24304
hex3b9e0750

1000212304 has 90 divisors (see below), whose sum is σ = 2441375550. Its totient is φ = 395635968.

The previous prime is 1000212281. The next prime is 1000212313. The reversal of 1000212304 is 4032120001.

1000212304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 34245904 + 965966400 = 5852^2 + 31080^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 128722 + ... + 136270.

It is an arithmetic number, because the mean of its divisors is an integer number (27126395).

Almost surely, 21000212304 is an apocalyptic number.

1000212304 is a gapful number since it is divisible by the number (14) 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 1000212304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220687775).

1000212304 is an abundant number, since it is smaller than the sum of its proper divisors (1441163246).

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

1000212304 is a wasteful number, since it uses less digits than its factorization.

1000212304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7597 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1000212304 is about 31626.1332445179. The cubic root of 1000212304 is about 1000.0707629925.

Adding to 1000212304 its reverse (4032120001), we get a palindrome (5032332305).

The spelling of 1000212304 in words is "one billion, two hundred twelve thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 2366 2548 2704 4732 5096 7549 8281 9464 10192 15098 16562 18928 30196 33124 52843 60392 66248 98137 105686 120784 132496 196274 211372 369901 392548 422744 686959 739802 785096 845488 1275781 1373918 1479604 1570192 2551562 2747836 2959208 4808713 5103124 5495672 5918416 8930467 9617426 10206248 10991344 17860934 19234852 20412496 35721868 38469704 62513269 71443736 76939408 125026538 142887472 250053076 500106152 1000212304