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2034202104 = 2332118113167
BaseRepresentation
bin111100100111111…
…0111010111111000
312020202201011200200
41321033313113320
513131223431404
6533504002200
7101260301244
oct17117672770
95222634620
102034202104
11954288170
12489300360
13265590bac
1415423d424
15bd8bb839
hex793f75f8

2034202104 has 96 divisors (see below), whose sum is σ = 6019453440. Its totient is φ = 615470400.

The previous prime is 2034202069. The next prime is 2034202109. The reversal of 2034202104 is 4012024302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034202109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640729 + ... + 643895.

It is an arithmetic number, because the mean of its divisors is an integer number (62702640).

Almost surely, 22034202104 is an apocalyptic number.

2034202104 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 2034202104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009726720).

2034202104 is an abundant number, since it is smaller than the sum of its proper divisors (3985251336).

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

2034202104 is a wasteful number, since it uses less digits than its factorization.

2034202104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3994 counting only the distinct ones).

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

The square root of 2034202104 is about 45102.1297058132. The cubic root of 2034202104 is about 1267.0624863931.

Adding to 2034202104 its reverse (4012024302), we get a palindrome (6046226406).

The spelling of 2034202104 in words is "two billion, thirty-four million, two hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 811 1622 2433 3167 3244 4866 6334 6488 7299 8921 9501 9732 12668 14598 17842 19002 19464 25336 26763 28503 29196 34837 35684 38004 53526 57006 58392 69674 71368 76008 80289 104511 107052 114012 139348 160578 209022 214104 228024 278696 313533 321156 418044 627066 642312 836088 1254132 2508264 2568437 5136874 7705311 10273748 15410622 20547496 23115933 28252807 30821244 46231866 56505614 61642488 84758421 92463732 113011228 169516842 184927464 226022456 254275263 339033684 508550526 678067368 1017101052 2034202104