Search a number
-
+
34021020180 = 22357411975669
BaseRepresentation
bin11111101011110011…
…111001001000010100
310020210222112220002110
4133223303321020110
51024133340121210
623343512311020
72313033620520
oct375363711024
9106728486073
1034021020180
1113478a85004
1267156a2470
133292466394
14190a4b0d80
15d41b52420
hex7ebcf9214

34021020180 has 96 divisors (see below), whose sum is σ = 111522620160. Its totient is φ = 7586565120.

The previous prime is 34021020167. The next prime is 34021020181. The reversal of 34021020180 is 8102012043.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34021020181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970615 + ... + 1005054.

It is an arithmetic number, because the mean of its divisors is an integer number (1161693960).

Almost surely, 234021020180 is an apocalyptic number.

34021020180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34021020180 is an abundant number, since it is smaller than the sum of its proper divisors (77501599980).

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

34021020180 is a wasteful number, since it uses less digits than its factorization.

34021020180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975729 (or 1975727 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 34021020180 in words is "thirty-four billion, twenty-one million, twenty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3444 4305 5740 8610 17220 1975669 3951338 5927007 7902676 9878345 11854014 13829683 19756690 23708028 27659366 29635035 39513380 41489049 55318732 59270070 69148415 81002429 82978098 118540140 138296830 162004858 165956196 207445245 243007287 276593660 324009716 405012145 414890490 486014574 567017003 810024290 829780980 972029148 1134034006 1215036435 1620048580 1701051009 2268068012 2430072870 2835085015 3402102018 4860145740 5670170030 6804204036 8505255045 11340340060 17010510090 34021020180