Search a number
-
+
34424514120 = 2335745138501
BaseRepresentation
bin100000000011110111…
…000110011001001000
310021212002210111201110
4200003313012121020
51031000133422440
623451524450320
72326033353633
oct400367063110
9107762714643
1034424514120
1113665816a77
1268088499a0
133327c2c0a9
141947d04c1a
15d672a6080
hex803dc6648

34424514120 has 64 divisors (see below), whose sum is σ = 103290085440. Its totient is φ = 9178400000.

The previous prime is 34424514109. The next prime is 34424514133. The reversal of 34424514120 is 2141542443.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 874870 + ... + 913370.

It is an arithmetic number, because the mean of its divisors is an integer number (1613907585).

Almost surely, 234424514120 is an apocalyptic number.

34424514120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34424514120 is an abundant number, since it is smaller than the sum of its proper divisors (68865571320).

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

34424514120 is a wasteful number, since it uses less digits than its factorization.

34424514120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45966 (or 45962 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 34424514120 in words is "thirty-four billion, four hundred twenty-four million, five hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 7451 14902 22353 29804 37255 38501 44706 59608 74510 77002 89412 111765 115503 149020 154004 178824 192505 223530 231006 298040 308008 385010 447060 462012 577515 770020 894120 924024 1155030 1540040 2310060 4620120 286870951 573741902 860612853 1147483804 1434354755 1721225706 2294967608 2868709510 3442451412 4303064265 5737419020 6884902824 8606128530 11474838040 17212257060 34424514120