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2102404304 = 2471113149881
BaseRepresentation
bin111110101010000…
…0010010011010000
312102112001012112002
41331110002103100
513301203414204
6544341453132
7103046066420
oct17524022320
95375035462
102102404304
11989830520
124a81111a8
13276750320
1415d314480
15c488e91e
hex7d5024d0

2102404304 has 160 divisors (see below), whose sum is σ = 5512147200. Its totient is φ = 750182400.

The previous prime is 2102404303. The next prime is 2102404313. The reversal of 2102404304 is 4034042012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102404301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2385944 + ... + 2386824.

It is an arithmetic number, because the mean of its divisors is an integer number (34450920).

Almost surely, 22102404304 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 2102404304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756073600).

2102404304 is an abundant number, since it is smaller than the sum of its proper divisors (3409742896).

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

2102404304 is a wasteful number, since it uses less digits than its factorization.

2102404304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2102404304 is about 45851.9825525571. The cubic root of 2102404304 is about 1281.0676931363.

Adding to 2102404304 its reverse (4034042012), we get a palindrome (6136446316).

The spelling of 2102404304 in words is "two billion, one hundred two million, four hundred four thousand, three hundred four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 149 154 176 182 208 286 298 308 364 572 596 616 728 881 1001 1043 1144 1192 1232 1456 1639 1762 1937 2002 2086 2288 2384 3278 3524 3874 4004 4172 6167 6556 7048 7748 8008 8344 9691 11453 11473 12334 13112 13559 14096 15496 16016 16688 19382 21307 22906 22946 24668 26224 27118 30992 38764 42614 45812 45892 49336 54236 67837 77528 80171 85228 91624 91784 98672 108472 125983 131269 135674 149149 155056 160342 170456 183248 183568 216944 251966 262538 271348 298298 320684 340912 503932 525076 542696 596596 641368 881881 918883 1007864 1050152 1085392 1193192 1282736 1443959 1706497 1763762 1837766 2015728 2100304 2386384 2887918 3412994 3527524 3675532 5775836 6825988 7055048 7351064 10107713 11551672 11945479 13651976 14110096 14702128 18771467 20215426 23103344 23890958 27303952 37542934 40430852 47781916 75085868 80861704 95563832 131400269 150171736 161723408 191127664 262800538 300343472 525601076 1051202152 2102404304