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300385920 = 2735179203
BaseRepresentation
bin10001111001111…
…000011010000000
3202221020012000110
4101321320122000
51103344322140
645450151320
710305144462
oct2171703200
9687205013
10300385920
1114461842a
1284722540
134a304663
142bc74132
151b588380
hex11e78680

300385920 has 128 divisors (see below), whose sum is σ = 1013912640. Its totient is φ = 75382784.

The previous prime is 300385907. The next prime is 300385949. The reversal of 300385920 is 29583003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28039 + ... + 37241.

Almost surely, 2300385920 is an apocalyptic number.

300385920 is a gapful number since it is divisible by the number (30) 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 300385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506956320).

300385920 is an abundant number, since it is smaller than the sum of its proper divisors (713526720).

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

300385920 is a wasteful number, since it uses less digits than its factorization.

300385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9242 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 300385920 is about 17331.6450459845. The cubic root of 300385920 is about 669.7198799308.

The spelling of 300385920 in words is "three hundred million, three hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 9203 10880 16320 18406 27609 32640 36812 46015 55218 73624 92030 110436 138045 147248 156451 184060 220872 276090 294496 312902 368120 441744 469353 552180 588992 625804 736240 782255 883488 938706 1104360 1177984 1251608 1472480 1564510 1766976 1877412 2208720 2346765 2503216 2944960 3129020 3533952 3754824 4417440 4693530 5006432 5889920 6258040 7509648 8834880 9387060 10012864 12516080 15019296 17669760 18774120 20025728 25032160 30038592 37548240 50064320 60077184 75096480 100128640 150192960 300385920