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34021433000 = 2353307110819
BaseRepresentation
bin11111101011110101…
…011101111010101000
310020211000022212101002
4133223311131322220
51024133441324000
623343525214132
72313040260212
oct375365357250
9106730285332
1034021433000
1113479237185
126715861348
13329257c259
14190a57b5b2
15d41bd48d5
hex7ebd5dea8

34021433000 has 64 divisors (see below), whose sum is σ = 79870190400. Its totient is φ = 13564123200.

The previous prime is 34021432987. The next prime is 34021433021. The reversal of 34021433000 is 33412043.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251591 + ... + 362409.

It is an arithmetic number, because the mean of its divisors is an integer number (1247971725).

Almost surely, 234021433000 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 34021433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39935095200).

34021433000 is an abundant number, since it is smaller than the sum of its proper divisors (45848757400).

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

34021433000 is a wasteful number, since it uses less digits than its factorization.

34021433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111147 (or 111133 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34021433000 its reverse (33412043), we get a palindrome (34054845043).

The spelling of 34021433000 in words is "thirty-four billion, twenty-one million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 307 500 614 1000 1228 1535 2456 3070 6140 7675 12280 15350 30700 38375 61400 76750 110819 153500 221638 307000 443276 554095 886552 1108190 2216380 2770475 4432760 5540950 11081900 13852375 22163800 27704750 34021433 55409500 68042866 110819000 136085732 170107165 272171464 340214330 680428660 850535825 1360857320 1701071650 3402143300 4252679125 6804286600 8505358250 17010716500 34021433000