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3345141520 = 245719216547
BaseRepresentation
bin1100011101100010…
…1100111100010000
322122010110210111101
43013120230330100
523322324012040
61311533554144
7145616143120
oct30730547420
98563423441
103345141520
111467277376
12794345954
134140591a6
1423a3aac80
15148a1d09a
hexc762cf10

3345141520 has 120 divisors (see below), whose sum is σ = 9381524544. Its totient is φ = 1086476544.

The previous prime is 3345141491. The next prime is 3345141529. The reversal of 3345141520 is 251415433.

It is a super-2 number, since 2×33451415202 = 22379943577655820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3345141529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193887 + ... + 210433.

Almost surely, 23345141520 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 3345141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690762272).

3345141520 is an abundant number, since it is smaller than the sum of its proper divisors (6036383024).

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

3345141520 is a wasteful number, since it uses less digits than its factorization.

3345141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16605 (or 16580 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 3345141520 is about 57837.1984107114. The cubic root of 3345141520 is about 1495.5634122113.

Adding to 3345141520 its reverse (251415433), we get a palindrome (3596556953).

The spelling of 3345141520 in words is "three billion, three hundred forty-five million, one hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 361 380 532 560 665 722 760 1064 1330 1444 1520 1805 2128 2527 2660 2888 3610 5054 5320 5776 7220 10108 10640 12635 14440 16547 20216 25270 28880 33094 40432 50540 66188 82735 101080 115829 132376 165470 202160 231658 264752 314393 330940 463316 579145 628786 661880 926632 1158290 1257572 1323760 1571965 1853264 2200751 2316580 2515144 3143930 4401502 4633160 5030288 5973467 6287860 8803004 9266320 11003755 11946934 12575720 17606008 22007510 23893868 25151440 29867335 35212016 41814269 44015020 47787736 59734670 83628538 88030040 95575472 119469340 167257076 176060080 209071345 238938680 334514152 418142690 477877360 669028304 836285380 1672570760 3345141520