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4405674320 = 245385314293
BaseRepresentation
bin1000001101001100…
…10100000101010000
3102101001001102222222
410012212110011100
533010323034240
62005100520212
7214114420355
oct40646240520
912331042888
104405674320
111960985363
12a2b550068
1355299b9a8
142db19462c
151abba9eb5
hex106994150

4405674320 has 40 divisors (see below), whose sum is σ = 10246568136. Its totient is φ = 1761689088.

The previous prime is 4405674293. The next prime is 4405674353. The reversal of 4405674320 is 234765044.

It can be written as a sum of positive squares in 4 ways, for example, as 392198416 + 4013475904 = 19804^2 + 63352^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301094 + ... + 315386.

Almost surely, 24405674320 is an apocalyptic number.

4405674320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4405674320 is an abundant number, since it is smaller than the sum of its proper divisors (5840893816).

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

4405674320 is a wasteful number, since it uses less digits than its factorization.

4405674320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18159 (or 18153 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 4405674320 is about 66375.2538224902. The cubic root of 4405674320 is about 1639.3466463506.

The spelling of 4405674320 in words is "four billion, four hundred five million, six hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3853 7706 14293 15412 19265 28586 30824 38530 57172 61648 71465 77060 114344 142930 154120 228688 285860 308240 571720 1143440 55070929 110141858 220283716 275354645 440567432 550709290 881134864 1101418580 2202837160 4405674320