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300131040 = 25351156843
BaseRepresentation
bin10001111000111…
…010001011100000
3202220202020101110
4101320322023200
51103313143130
645440503320
710303033416
oct2170721340
9686666343
10300131040
11144463990
128461ab40
134a245641
142bc092b6
151b537ab0
hex11e3a2e0

300131040 has 96 divisors (see below), whose sum is σ = 1031377536. Its totient is φ = 72757760.

The previous prime is 300131021. The next prime is 300131059. The reversal of 300131040 is 40131003.

It is an interprime number because it is at equal distance from previous prime (300131021) and next prime (300131059).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23142 + ... + 33701.

It is an arithmetic number, because the mean of its divisors is an integer number (10743516).

Almost surely, 2300131040 is an apocalyptic number.

300131040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300131040 is an abundant number, since it is smaller than the sum of its proper divisors (731246496).

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

300131040 is a wasteful number, since it uses less digits than its factorization.

300131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56872 (or 56864 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 300131040 is about 17324.2904616610. The cubic root of 300131040 is about 669.5304053316.

Adding to 300131040 its reverse (40131003), we get a palindrome (340262043).

The spelling of 300131040 in words is "three hundred million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 56843 113686 170529 227372 284215 341058 454744 568430 625273 682116 852645 909488 1136860 1250546 1364232 1705290 1818976 1875819 2273720 2501092 2728464 3126365 3410580 3751638 4547440 5002184 5456928 6252730 6821160 7503276 9094880 9379095 10004368 12505460 13642320 15006552 18758190 20008736 25010920 27284640 30013104 37516380 50021840 60026208 75032760 100043680 150065520 300131040