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3301113540 = 22351271313307
BaseRepresentation
bin1100010011000010…
…1111111011000100
322112001121221110110
43010300233323010
523230041113130
61303322153020
7144543000504
oct30460577304
98461557413
103301113540
11144443550a
12781652770
13407bb212a
142345c9a04
15144c22ab0
hexc4c2fec4

3301113540 has 96 divisors (see below), whose sum is σ = 9389850624. Its totient is φ = 866436480.

The previous prime is 3301113521. The next prime is 3301113577. The reversal of 3301113540 is 453111033.

3301113540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 996567 + ... + 999873.

It is an arithmetic number, because the mean of its divisors is an integer number (97810944).

Almost surely, 23301113540 is an apocalyptic number.

3301113540 is a gapful number since it is divisible by the number (30) 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 3301113540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694925312).

3301113540 is an abundant number, since it is smaller than the sum of its proper divisors (6088737084).

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

3301113540 is a wasteful number, since it uses less digits than its factorization.

3301113540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 3301113540 is about 57455.3177695503. The cubic root of 3301113540 is about 1488.9729931658.

Adding to 3301113540 its reverse (453111033), we get a palindrome (3754224573).

The spelling of 3301113540 in words is "three billion, three hundred one million, one hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 131 254 262 381 393 508 524 635 655 762 786 1270 1310 1524 1572 1905 1965 2540 2620 3307 3810 3930 6614 7620 7860 9921 13228 16535 16637 19842 33070 33274 39684 49605 49911 66140 66548 83185 99210 99822 166370 198420 199644 249555 332740 419989 433217 499110 839978 866434 998220 1259967 1299651 1679956 1732868 2099945 2166085 2519934 2599302 4199890 4332170 5039868 5198604 6299835 6498255 8399780 8664340 12599670 12996510 25199340 25993020 55018559 110037118 165055677 220074236 275092795 330111354 550185590 660222708 825278385 1100371180 1650556770 3301113540