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3075874480 = 245779251277
BaseRepresentation
bin1011011101010110…
…0001111010110000
321221100210121120001
42313111201322300
522244410440410
61225114355344
7136136334040
oct26725417260
97840717501
103075874480
111339284028
1271a12bb54
133a032bb93
14212717720
1513008033a
hexb7561eb0

3075874480 has 160 divisors (see below), whose sum is σ = 8339466240. Its totient is φ = 1033344000.

The previous prime is 3075874471. The next prime is 3075874499. The reversal of 3075874480 is 844785703.

It is a super-2 number, since 2×30758744802 = 18922007633430540800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3075874480.

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 31 ways as a sum of consecutive naturals, for example, 11104102 + ... + 11104378.

It is an arithmetic number, because the mean of its divisors is an integer number (52121664).

Almost surely, 23075874480 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 3075874480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169733120).

3075874480 is an abundant number, since it is smaller than the sum of its proper divisors (5263591760).

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

3075874480 is a wasteful number, since it uses less digits than its factorization.

3075874480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The square root of 3075874480 is about 55460.5668921622. The cubic root of 3075874480 is about 1454.3073631223.

The spelling of 3075874480 in words is "three billion, seventy-five million, eight hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 251 277 280 316 395 502 553 554 560 632 790 1004 1106 1108 1255 1264 1385 1580 1757 1939 2008 2212 2216 2510 2765 2770 3160 3514 3878 4016 4424 4432 5020 5530 5540 6320 7028 7756 8785 8848 9695 10040 11060 11080 14056 15512 17570 19390 19829 20080 21883 22120 22160 28112 31024 35140 38780 39658 43766 44240 69527 70280 77560 79316 87532 99145 109415 138803 139054 140560 153181 155120 158632 175064 198290 218830 277606 278108 306362 317264 347635 350128 396580 437660 486689 555212 556216 612724 694015 695270 765905 793160 875320 973378 1110424 1112432 1225448 1388030 1390540 1531810 1586320 1750640 1946756 2220848 2433445 2450896 2776060 2781080 3063620 3893512 4866890 5492633 5552120 5562160 6127240 7787024 9733780 10985266 11104240 12254480 19467560 21970532 27463165 38448431 38935120 43941064 54926330 76896862 87882128 109852660 153793724 192242155 219705320 307587448 384484310 439410640 615174896 768968620 1537937240 3075874480