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3302041120 = 25577340387
BaseRepresentation
bin1100010011010001…
…0010011000100000
322112010101001212021
43010310102120200
523230310303440
61303354111224
7144553613020
oct30464223040
98463331767
103302041120
111444a09404
12781a1b514
134081483b1
1423478ba80
15144d5784a
hexc4d12620

3302041120 has 96 divisors (see below), whose sum is σ = 9037865088. Its totient is φ = 1116592128.

The previous prime is 3302041111. The next prime is 3302041147. The reversal of 3302041120 is 211402033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3302041094 and 3302041103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61567 + ... + 101953.

It is an arithmetic number, because the mean of its divisors is an integer number (94144428).

Almost surely, 23302041120 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 3302041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518932544).

3302041120 is an abundant number, since it is smaller than the sum of its proper divisors (5735823968).

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

3302041120 is a wasteful number, since it uses less digits than its factorization.

3302041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40482 (or 40474 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3302041120 is about 57463.3893883749. The cubic root of 3302041120 is about 1489.1124422951.

Adding to 3302041120 its reverse (211402033), we get a palindrome (3513443153).

The spelling of 3302041120 in words is "three billion, three hundred two million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 73 80 112 140 146 160 224 280 292 365 511 560 584 730 1022 1120 1168 1460 2044 2336 2555 2920 4088 5110 5840 8176 10220 11680 16352 20440 40387 40880 80774 81760 161548 201935 282709 323096 403870 565418 646192 807740 1130836 1292384 1413545 1615480 2261672 2827090 2948251 3230960 4523344 5654180 5896502 6461920 9046688 11308360 11793004 14741255 20637757 22616720 23586008 29482510 41275514 45233440 47172016 58965020 82551028 94344032 103188785 117930040 165102056 206377570 235860080 330204112 412755140 471720160 660408224 825510280 1651020560 3302041120