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2034220104 = 2332721930347
BaseRepresentation
bin111100100111111…
…1011110001001000
312020202202002101100
41321033323301020
513131230020404
6533504221400
7101260404600
oct17117736110
95222662340
102034220104
1195429a744
1248930a860
13265599147
14154245c00
15bd8c1d39
hex793fbc48

2034220104 has 144 divisors (see below), whose sum is σ = 6746360400. Its totient is φ = 550597824.

The previous prime is 2034220099. The next prime is 2034220127. The reversal of 2034220104 is 4010224302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51859 + ... + 82205.

It is an arithmetic number, because the mean of its divisors is an integer number (46849725).

Almost surely, 22034220104 is an apocalyptic number.

2034220104 is a gapful number since it is divisible by the number (24) 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 2034220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373180200).

2034220104 is an abundant number, since it is smaller than the sum of its proper divisors (4712140296).

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

2034220104 is a wasteful number, since it uses less digits than its factorization.

2034220104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30392 (or 30378 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2034220104 is about 45102.3292524898. The cubic root of 2034220104 is about 1267.0662236582.

Adding to 2034220104 its reverse (4010224302), we get a palindrome (6044444406).

The spelling of 2034220104 in words is "two billion, thirty-four million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 228 252 266 294 342 392 399 441 456 504 532 588 684 798 882 931 1064 1176 1197 1368 1596 1764 1862 2394 2793 3192 3528 3724 4788 5586 7448 8379 9576 11172 16758 22344 30347 33516 60694 67032 91041 121388 182082 212429 242776 273123 364164 424858 546246 576593 637287 728328 849716 1092492 1153186 1274574 1487003 1699432 1729779 1911861 2184984 2306372 2549148 2974006 3459558 3823722 4036151 4461009 4612744 5098296 5189337 5948012 6919116 7647444 8072302 8922018 10378674 11896024 12108453 13383027 13838232 15294888 16144604 17844036 20757348 24216906 26766054 28253057 32289208 35688072 36325359 41514696 48433812 53532108 56506114 72650718 84759171 96867624 107064216 113012228 145301436 169518342 226024456 254277513 290602872 339036684 508555026 678073368 1017110052 2034220104