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3320053540 = 2251935924337
BaseRepresentation
bin1100010111100011…
…1111111100100100
322120101021012020221
43011320333330210
523244413203130
61305240134124
7145162663246
oct30570777444
98511235227
103320053540
1114540a1401
12787a67344
1340bab3c2b
14236d1a096
1514671487a
hexc5e3ff24

3320053540 has 48 divisors (see below), whose sum is σ = 7359811200. Its totient is φ = 1254569472.

The previous prime is 3320053537. The next prime is 3320053543. The reversal of 3320053540 is 453500233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3320053537) and next prime (3320053543).

It is a super-2 number, since 2×33200535402 = 22045511016933063200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3320053543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124252 + ... + 148588.

It is an arithmetic number, because the mean of its divisors is an integer number (153329400).

Almost surely, 23320053540 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 3320053540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679905600).

3320053540 is an abundant number, since it is smaller than the sum of its proper divisors (4039757660).

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

3320053540 is a wasteful number, since it uses less digits than its factorization.

3320053540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24724 (or 24722 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The square root of 3320053540 is about 57619.9057618112. The cubic root of 3320053540 is about 1491.8152043477.

Adding to 3320053540 its reverse (453500233), we get a palindrome (3773553773).

The spelling of 3320053540 in words is "three billion, three hundred twenty million, fifty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 359 380 718 1436 1795 3590 6821 7180 13642 24337 27284 34105 48674 68210 97348 121685 136420 243370 462403 486740 924806 1849612 2312015 4624030 8736983 9248060 17473966 34947932 43684915 87369830 166002677 174739660 332005354 664010708 830013385 1660026770 3320053540