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3314113404 = 22373110112601
BaseRepresentation
bin1100010110001001…
…0101101101111100
322112222002101220220
43011202111231330
523241403112104
61304504541340
7145061333130
oct30542255574
98488071826
103314113404
1114508044a8
12785a81850
1340a7b4264
142362113c0
15145e3e7d9
hexc5895b7c

3314113404 has 96 divisors (see below), whose sum is σ = 9213775872. Its totient is φ = 907200000.

The previous prime is 3314113403. The next prime is 3314113457. The reversal of 3314113404 is 4043114133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314113403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256704 + ... + 269304.

It is an arithmetic number, because the mean of its divisors is an integer number (95976832).

Almost surely, 23314113404 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 3314113404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606887936).

3314113404 is an abundant number, since it is smaller than the sum of its proper divisors (5899662468).

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

3314113404 is a wasteful number, since it uses less digits than its factorization.

3314113404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12747 (or 12745 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3314113404 is about 57568.3368180808. The cubic root of 3314113404 is about 1490.9249701682.

Adding to 3314113404 its reverse (4043114133), we get a palindrome (7357227537).

The spelling of 3314113404 in words is "three billion, three hundred fourteen million, one hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 101 124 186 202 217 303 372 404 434 606 651 707 868 1212 1302 1414 2121 2604 2828 3131 4242 6262 8484 9393 12524 12601 18786 21917 25202 37572 37803 43834 50404 65751 75606 87668 88207 131502 151212 176414 263004 264621 352828 390631 529242 781262 1058484 1171893 1272701 1562524 2343786 2545402 2734417 3818103 4687572 5090804 5468834 7636206 8203251 8908907 10937668 15272412 16406502 17817814 26726721 32813004 35635628 39453731 53453442 78907462 106906884 118361193 157814924 236722386 276176117 473444772 552352234 828528351 1104704468 1657056702 3314113404