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2030312304 = 24342368113
BaseRepresentation
bin111100100000100…
…0001101101110000
312020111101112220000
41321001001231300
513124224443204
6533244350000
7101212240566
oct17101015560
95214345800
102030312304
11952070759
12487b45300
1326482b537
14153909a36
15bd39e039
hex79041b70

2030312304 has 100 divisors (see below), whose sum is σ = 6131894736. Its totient is φ = 647336448.

The previous prime is 2030312303. The next prime is 2030312311. The reversal of 2030312304 is 4032130302.

2030312304 is a `hidden beast` number, since 20 + 30 + 312 + 304 = 666.

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 (2030312303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4249 + ... + 63864.

Almost surely, 22030312304 is an apocalyptic number.

2030312304 is a gapful number since it is divisible by the number (24) 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 2030312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065947368).

2030312304 is an abundant number, since it is smaller than the sum of its proper divisors (4101582432).

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

2030312304 is a wasteful number, since it uses less digits than its factorization.

2030312304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68156 (or 68141 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2030312304 is about 45058.9869393443. The cubic root of 2030312304 is about 1266.2543456988.

Adding to 2030312304 its reverse (4032130302), we get a palindrome (6062442606).

The spelling of 2030312304 in words is "two billion, thirty million, three hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 4968 7452 9936 14904 29808 68113 136226 204339 272452 408678 544904 613017 817356 1089808 1226034 1566599 1634712 1839051 2452068 3133198 3269424 3678102 4699797 4904136 5517153 6266396 7356204 9399594 9808272 11034306 12532792 14099391 14712408 18799188 22068612 25065584 28198782 29424816 37598376 42298173 44137224 56397564 75196752 84596346 88274448 112795128 126894519 169192692 225590256 253789038 338385384 507578076 676770768 1015156152 2030312304