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4354552040 = 2351746313831
BaseRepresentation
bin1000000111000110…
…10011000011101000
3102020110212011102012
410003203103003220
532404231131130
62000033055052
7212624036666
oct40343230350
912213764365
104354552040
111935038443
12a163b7488
1354520c817
142d4487c36
151a745c995
hex1038d30e8

4354552040 has 64 divisors (see below), whose sum is σ = 10397237760. Its totient is φ = 1635701760.

The previous prime is 4354552001. The next prime is 4354552099. The reversal of 4354552040 is 402554534.

It is a junction number, because it is equal to n+sod(n) for n = 4354551988 and 4354552006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307925 + ... + 321755.

It is an arithmetic number, because the mean of its divisors is an integer number (162456840).

Almost surely, 24354552040 is an apocalyptic number.

4354552040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4354552040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198618880).

4354552040 is an abundant number, since it is smaller than the sum of its proper divisors (6042685720).

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

4354552040 is a wasteful number, since it uses less digits than its factorization.

4354552040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14322 (or 14318 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The square root of 4354552040 is about 65989.0296943363. The cubic root of 4354552040 is about 1632.9811128147.

The spelling of 4354552040 in words is "four billion, three hundred fifty-four million, five hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 463 680 926 1852 2315 3704 4630 7871 9260 13831 15742 18520 27662 31484 39355 55324 62968 69155 78710 110648 138310 157420 235127 276620 314840 470254 553240 940508 1175635 1881016 2351270 4702540 6403753 9405080 12807506 25615012 32018765 51230024 64037530 108863801 128075060 217727602 256150120 435455204 544319005 870910408 1088638010 2177276020 4354552040