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3009875440 = 2451113263101
BaseRepresentation
bin1011001101100111…
…0000110111110000
321202202121111220011
42303121300313300
522131012003230
61214400024304
7134405343025
oct26331606760
97682544804
103009875440
111304aa5a70
12700002094
1338c7614b0
14207a5754c
15129394e2a
hexb3670df0

3009875440 has 80 divisors (see below), whose sum is σ = 8221411296. Its totient is φ = 1010304000.

The previous prime is 3009875423. The next prime is 3009875509. The reversal of 3009875440 is 445789003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3009875393 and 3009875402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120111 + ... + 142990.

Almost surely, 23009875440 is an apocalyptic number.

It is an amenable number.

3009875440 is an abundant number, since it is smaller than the sum of its proper divisors (5211535856).

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

3009875440 is a wasteful number, since it uses less digits than its factorization.

3009875440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263138 (or 263132 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 3009875440 is about 54862.3317040025. The cubic root of 3009875440 is about 1443.8303757905.

The spelling of 3009875440 in words is "three billion, nine million, eight hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 263101 526202 1052404 1315505 2104808 2631010 2894111 3420313 4209616 5262020 5788222 6840626 10524040 11576444 13681252 14470555 17101565 21048080 23152888 27362504 28941110 34203130 37623443 46305776 54725008 57882220 68406260 75246886 115764440 136812520 150493772 188117215 231528880 273625040 300987544 376234430 601975088 752468860 1504937720 3009875440