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2018000304 = 2436315581
BaseRepresentation
bin111100001001000…
…0011110110110000
312012122020001000000
41320102003312300
513113102002204
6532124430000
7101002501545
oct17022036660
95178201000
102018000304
11946121551
124839a8300
1326210a528
14152022bcc
15bc26b039
hex78483db0

2018000304 has 140 divisors (see below), whose sum is σ = 6052316992. Its totient is φ = 650851200.

The previous prime is 2018000267. The next prime is 2018000311. The reversal of 2018000304 is 4030008102.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 358794 + ... + 364374.

Almost surely, 22018000304 is an apocalyptic number.

2018000304 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 2018000304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026158496).

2018000304 is an abundant number, since it is smaller than the sum of its proper divisors (4034316688).

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

2018000304 is an equidigital number, since it uses as much as digits as its factorization.

2018000304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638 (or 5617 counting only the distinct ones).

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

The square root of 2018000304 is about 44922.1582740634. The cubic root of 2018000304 is about 1263.6895935694.

Adding to 2018000304 its reverse (4030008102), we get a palindrome (6048008406).

The spelling of 2018000304 in words is "two billion, eighteen million, three hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 648 729 744 837 972 1116 1296 1458 1488 1674 1944 2232 2511 2916 3348 3888 4464 5022 5581 5832 6696 7533 10044 11162 11664 13392 15066 16743 20088 22324 22599 30132 33486 40176 44648 45198 50229 60264 66972 89296 90396 100458 120528 133944 150687 173011 180792 200916 267888 301374 346022 361584 401832 452061 519033 602748 692044 803664 904122 1038066 1205496 1356183 1384088 1557099 1808244 2076132 2410992 2712366 2768176 3114198 3616488 4068549 4152264 4671297 5424732 6228396 7232976 8137098 8304528 9342594 10849464 12456792 14013891 16274196 18685188 21698928 24913584 28027782 32548392 37370376 42041673 56055564 65096784 74740752 84083346 112111128 126125019 168166692 224222256 252250038 336333384 504500076 672666768 1009000152 2018000304