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3001434120 = 2332571117427
BaseRepresentation
bin1011001011100110…
…0100000000001000
321202011201122120200
42302321210000020
522121331342440
61213455052200
7134243524536
oct26271440010
97664648520
103001434120
11130025a973
126b9211060
1338aa97229
1420689b156
15128778c30
hexb2e64008

3001434120 has 96 divisors (see below), whose sum is σ = 9892134720. Its totient is φ = 789102720.

The previous prime is 3001434109. The next prime is 3001434143. The reversal of 3001434120 is 214341003.

3001434120 is a `hidden beast` number, since 300 + 1 + 4 + 341 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3001434093 and 3001434102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33154 + ... + 84273.

It is an arithmetic number, because the mean of its divisors is an integer number (103043070).

Almost surely, 23001434120 is an apocalyptic number.

3001434120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001434120 is an abundant number, since it is smaller than the sum of its proper divisors (6890700600).

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

3001434120 is a wasteful number, since it uses less digits than its factorization.

3001434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117515 (or 117508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3001434120 is about 54785.3458508751. The cubic root of 3001434120 is about 1442.4793513580.

Adding to 3001434120 its reverse (214341003), we get a palindrome (3215775123).

The spelling of 3001434120 in words is "three billion, one million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 12780 25560 117427 234854 352281 469708 587135 704562 939416 1056843 1174270 1409124 1761405 2113686 2348540 2818248 3522810 4227372 4697080 5284215 7045620 8337317 8454744 10568430 14091240 16674634 21136860 25011951 33349268 41686585 42273720 50023902 66698536 75035853 83373170 100047804 125059755 150071706 166746340 200095608 250119510 300143412 333492680 375179265 500239020 600286824 750358530 1000478040 1500717060 3001434120