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3074206128 = 2437231991999
BaseRepresentation
bin1011011100111100…
…1010100110110000
321221020122212000020
42313033022212300
522243444044003
61225014523440
7136116215040
oct26717124660
97836585006
103074206128
111338344624
12719666580
1339cb966a6
14212401720
1512ed50d53
hexb73ca9b0

3074206128 has 160 divisors (see below), whose sum is σ = 9523200000. Its totient is φ = 835515648.

The previous prime is 3074206123. The next prime is 3074206141. The reversal of 3074206128 is 8216024703.

It is not an unprimeable number, because it can be changed into a prime (3074206123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1536873 + ... + 1538871.

It is an arithmetic number, because the mean of its divisors is an integer number (59520000).

Almost surely, 23074206128 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 3074206128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761600000).

3074206128 is an abundant number, since it is smaller than the sum of its proper divisors (6448993872).

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

3074206128 is a wasteful number, since it uses less digits than its factorization.

3074206128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3074206128 is about 55445.5239672239. The cubic root of 3074206128 is about 1454.0443771628.

The spelling of 3074206128 in words is "three billion, seventy-four million, two hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 199 276 322 336 368 398 483 552 597 644 796 966 1104 1194 1288 1393 1592 1932 1999 2388 2576 2786 3184 3864 3998 4179 4577 4776 5572 5997 7728 7996 8358 9154 9552 11144 11994 13731 13993 15992 16716 18308 22288 23988 27462 27986 31984 32039 33432 36616 41979 45977 47976 54924 55972 64078 66864 73232 83958 91954 95952 96117 109848 111944 128156 137931 167916 183908 192234 219696 223888 256312 275862 321839 335832 367816 384468 397801 512624 551724 643678 671664 735632 768936 795602 965517 1103448 1193403 1287356 1537872 1591204 1931034 2206896 2386806 2574712 2784607 3182408 3862068 4773612 5149424 5569214 6364816 7724136 8353821 9149423 9547224 11138428 15448272 16707642 18298846 19094448 22276856 27448269 33415284 36597692 44553712 54896538 64045961 66830568 73195384 109793076 128091922 133661136 146390768 192137883 219586152 256183844 384275766 439172304 512367688 768551532 1024735376 1537103064 3074206128