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3004026840 = 2332510182619
BaseRepresentation
bin1011001100001101…
…1100111111011000
321202100121101010100
42303003130333120
522123012324330
61214030415400
7134304543513
oct26303347730
97670541110
103004026840
111301770911
126ba061560
1338b494399
14206d73d7a
15128adc060
hexb30dcfd8

3004026840 has 96 divisors (see below), whose sum is σ = 9859870800. Its totient is φ = 793132800.

The previous prime is 3004026793. The next prime is 3004026859. The reversal of 3004026840 is 486204003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4950 + ... + 77669.

Almost surely, 23004026840 is an apocalyptic number.

3004026840 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 3004026840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929935400).

3004026840 is an abundant number, since it is smaller than the sum of its proper divisors (6855843960).

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

3004026840 is a wasteful number, since it uses less digits than its factorization.

3004026840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82737 (or 82730 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3004026840 is about 54809.0032750095. The cubic root of 3004026840 is about 1442.8945827154.

The spelling of 3004026840 in words is "three billion, four million, twenty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 12120 18180 36360 82619 165238 247857 330476 413095 495714 660952 743571 826190 991428 1239285 1487142 1652380 1982856 2478570 2974284 3304760 3717855 4957140 5948568 7435710 8344519 9914280 14871420 16689038 25033557 29742840 33378076 41722595 50067114 66756152 75100671 83445190 100134228 125167785 150201342 166890380 200268456 250335570 300402684 333780760 375503355 500671140 600805368 751006710 1001342280 1502013420 3004026840