Search a number
-
+
4350530000 = 2454795507
BaseRepresentation
bin1000000110100111…
…11101000111010000
3102020012021211012202
410003103331013100
532402213430000
61555410542332
7212544615635
oct40323750720
912205254182
104350530000
111932840643
12a14b979a8
13544431c0b
142d3b1c18c
151a6e15dd5
hex1034fd1d0

4350530000 has 100 divisors (see below), whose sum is σ = 10668335040. Its totient is φ = 1717872000.

The previous prime is 4350529979. The next prime is 4350530081. The reversal of 4350530000 is 350534.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×43505300002 = 37854222561800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 787247 + ... + 792753.

Almost surely, 24350530000 is an apocalyptic number.

4350530000 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 4350530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334167520).

4350530000 is an abundant number, since it is smaller than the sum of its proper divisors (6317805040).

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

4350530000 is an equidigital number, since it uses as much as digits as its factorization.

4350530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 4350530000 is about 65958.5475886181. The cubic root of 4350530000 is about 1632.4781955255.

Adding to 4350530000 its reverse (350534), we get a palindrome (4350880534).

The spelling of 4350530000 in words is "four billion, three hundred fifty million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 316 395 400 500 625 632 790 1000 1250 1264 1580 1975 2000 2500 3160 3950 5000 5507 6320 7900 9875 10000 11014 15800 19750 22028 27535 31600 39500 44056 49375 55070 79000 88112 98750 110140 137675 158000 197500 220280 275350 395000 435053 440560 550700 688375 790000 870106 1101400 1376750 1740212 2175265 2202800 2753500 3441875 3480424 4350530 5507000 6883750 6960848 8701060 10876325 11014000 13767500 17402120 21752650 27535000 34804240 43505300 54381625 55070000 87010600 108763250 174021200 217526500 271908125 435053000 543816250 870106000 1087632500 2175265000 4350530000