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2034425088 = 28321751941
BaseRepresentation
bin111100101000010…
…1101110100000000
312020210010111120100
41321100231310000
513131303100323
6533512442400
7101262220323
oct17120556400
95223114510
102034425088
1195441a753
124893a9400
1326563b537
1415429a7ba
15bd912943
hex7942dd00

2034425088 has 108 divisors (see below), whose sum is σ = 6210912708. Its totient is φ = 638238720.

The previous prime is 2034425083. The next prime is 2034425089. The reversal of 2034425088 is 8805244302.

2034425088 is a `hidden beast` number, since 203 + 442 + 5 + 0 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 707134464 + 1327290624 = 26592^2 + 36432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034425083) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13198 + ... + 65138.

It is an arithmetic number, because the mean of its divisors is an integer number (57508451).

Almost surely, 22034425088 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 2034425088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105456354).

2034425088 is an abundant number, since it is smaller than the sum of its proper divisors (4176487620).

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

2034425088 is a wasteful number, since it uses less digits than its factorization.

2034425088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51980 (or 51963 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2034425088 is about 45104.6016277719. The cubic root of 2034425088 is about 1267.1087820780.

The spelling of 2034425088 in words is "two billion, thirty-four million, four hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 4352 4896 6528 9792 13056 19584 39168 51941 103882 155823 207764 311646 415528 467469 623292 831056 882997 934938 1246584 1662112 1765994 1869876 2493168 2648991 3324224 3531988 3739752 4986336 5297982 6648448 7063976 7479504 7946973 9972672 10595964 13296896 14127952 14959008 15893946 19945344 21191928 28255904 29918016 31787892 39890688 42383856 56511808 59836032 63575784 84767712 113023616 119672064 127151568 169535424 226047232 254303136 339070848 508606272 678141696 1017212544 2034425088