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3122004288 = 263139111373
BaseRepresentation
bin1011101000010110…
…0000000101000000
322001120121020202110
42322011200011000
522343213114123
61233443215320
7140236412214
oct27205400500
98046536673
103122004288
111362321037
12731677540
133a9a60820
142188c4944
15134143493
hexba160140

3122004288 has 112 divisors (see below), whose sum is σ = 8911961856. Its totient is φ = 958863360.

The previous prime is 3122004169. The next prime is 3122004317. The reversal of 3122004288 is 8824002213.

It is a congruent number.

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, 2273170 + ... + 2274542.

It is an arithmetic number, because the mean of its divisors is an integer number (79571088).

Almost surely, 23122004288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122004288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455980928).

3122004288 is an abundant number, since it is smaller than the sum of its proper divisors (5789957568).

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

3122004288 is a wasteful number, since it uses less digits than its factorization.

3122004288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 3122004288 is about 55874.8985502435. The cubic root of 3122004288 is about 1461.5415456101.

The spelling of 3122004288 in words is "three billion, one hundred twenty-two million, four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 911 1248 1373 1822 2496 2733 2746 3644 4119 5466 5492 7288 8238 10932 10984 11843 14576 16476 17849 21864 21968 23686 29152 32952 35529 35698 43728 43936 47372 53547 58304 65904 71058 71396 87456 87872 94744 107094 131808 142116 142792 174912 189488 214188 263616 284232 285584 378976 428376 568464 571168 757952 856752 1136928 1142336 1250803 1713504 2273856 2501606 3427008 3752409 5003212 7504818 10006424 15009636 16260439 20012848 30019272 32520878 40025696 48781317 60038544 65041756 80051392 97562634 120077088 130083512 195125268 240154176 260167024 390250536 520334048 780501072 1040668096 1561002144 3122004288