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3413423020 = 2257314119183
BaseRepresentation
bin1100101101110100…
…1011001110101100
322210212221212002211
43023131023032230
523442314014040
61322413300204
7150405421420
oct31335131654
98725855084
103413423020
1114a1874267
127b3194664
13425245747
142454a2b80
1514ea098ea
hexcb74b3ac

3413423020 has 96 divisors (see below), whose sum is σ = 8663187456. Its totient is φ = 1104883200.

The previous prime is 3413423011. The next prime is 3413423087. The reversal of 3413423020 is 203243143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3413422982 and 3413423000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168349 + ... + 187531.

It is an arithmetic number, because the mean of its divisors is an integer number (90241536).

Almost surely, 23413423020 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 3413423020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331593728).

3413423020 is an abundant number, since it is smaller than the sum of its proper divisors (5249764436).

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

3413423020 is a wasteful number, since it uses less digits than its factorization.

3413423020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19271 (or 19269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3413423020 is about 58424.5070154640. The cubic root of 3413423020 is about 1505.6708333417.

Adding to 3413423020 its reverse (203243143), we get a palindrome (3616666163).

The spelling of 3413423020 in words is "three billion, four hundred thirteen million, four hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 41 62 70 82 124 140 155 164 205 217 287 310 410 434 574 620 820 868 1085 1148 1271 1435 2170 2542 2870 4340 5084 5740 6355 8897 12710 17794 19183 25420 35588 38366 44485 76732 88970 95915 134281 177940 191830 268562 383660 537124 594673 671405 786503 1189346 1342810 1573006 2378692 2685620 2973365 3146012 3932515 4162711 5505521 5946730 7865030 8325422 11011042 11893460 15730060 16650844 20813555 22022084 24381593 27527605 41627110 48763186 55055210 83254220 97526372 110110420 121907965 170671151 243815930 341342302 487631860 682684604 853355755 1706711510 3413423020