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2032340000 = 2554307331
BaseRepresentation
bin111100100100011…
…0000110000100000
312020122012120100212
41321020300300200
513130234340000
6533400033252
7101235414335
oct17110606040
95218176325
102032340000
11953226139
12488762828
1326508b462
14153cb698c
15bd64ec35
hex79230c20

2032340000 has 120 divisors (see below), whose sum is σ = 5031301968. Its totient is φ = 807840000.

The previous prime is 2032339951. The next prime is 2032340027. The reversal of 2032340000 is 432302.

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 19 ways as a sum of consecutive naturals, for example, 6139835 + ... + 6140165.

Almost surely, 22032340000 is an apocalyptic number.

2032340000 is a gapful number since it is divisible by the number (20) 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 2032340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515650984).

2032340000 is an abundant number, since it is smaller than the sum of its proper divisors (2998961968).

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

2032340000 is an equidigital number, since it uses as much as digits as its factorization.

2032340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2032340000 is about 45081.4817857621. The cubic root of 2032340000 is about 1266.6757463184.

Adding to 2032340000 its reverse (432302), we get a palindrome (2032772302).

The spelling of 2032340000 in words is "two billion, thirty-two million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 307 331 400 500 614 625 662 800 1000 1228 1250 1324 1535 1655 2000 2456 2500 2648 3070 3310 4000 4912 5000 5296 6140 6620 7675 8275 9824 10000 10592 12280 13240 15350 16550 20000 24560 26480 30700 33100 38375 41375 49120 52960 61400 66200 76750 82750 101617 122800 132400 153500 165500 191875 203234 206875 245600 264800 307000 331000 383750 406468 413750 508085 614000 662000 767500 812936 827500 1016170 1228000 1324000 1535000 1625872 1655000 2032340 2540425 3070000 3251744 3310000 4064680 5080850 6140000 6620000 8129360 10161700 12702125 16258720 20323400 25404250 40646800 50808500 63510625 81293600 101617000 127021250 203234000 254042500 406468000 508085000 1016170000 2032340000