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3345442140 = 223543472587
BaseRepresentation
bin1100011101100111…
…0110010101011100
322122011001001212110
43013121312111130
523322413122030
61311544234020
7145621534425
oct30731662534
98564031773
103345442140
111467462217
1279446b910
13414132c81
1423a44864c
15148a7c1b0
hexc767655c

3345442140 has 144 divisors (see below), whose sum is σ = 9810041472. Its totient is φ = 851378304.

The previous prime is 3345442099. The next prime is 3345442141. The reversal of 3345442140 is 412445433.

It is a super-2 number, since 2×33454421402 = 22383966224175559200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3345442098 and 3345442107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345442141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5698927 + ... + 5699513.

It is an arithmetic number, because the mean of its divisors is an integer number (68125288).

Almost surely, 23345442140 is an apocalyptic number.

3345442140 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 3345442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905020736).

3345442140 is an abundant number, since it is smaller than the sum of its proper divisors (6464599332).

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

3345442140 is a wasteful number, since it uses less digits than its factorization.

3345442140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 3345442140 is about 57839.7971988146. The cubic root of 3345442140 is about 1495.6082117913.

Adding to 3345442140 its reverse (412445433), we get a palindrome (3757887573).

The spelling of 3345442140 in words is "three billion, three hundred forty-five million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 47 60 86 94 129 141 172 188 215 235 258 282 430 470 516 564 587 645 705 860 940 1174 1290 1410 1761 2021 2209 2348 2580 2820 2935 3522 4042 4418 5870 6063 6627 7044 8084 8805 8836 10105 11045 11740 12126 13254 17610 20210 22090 24252 25241 26508 27589 30315 33135 35220 40420 44180 50482 55178 60630 66270 75723 82767 94987 100964 110356 121260 126205 132540 137945 151446 165534 189974 252410 275890 284961 302892 331068 378615 379948 413835 474935 504820 551780 569922 757230 827670 949870 1139844 1186327 1296683 1424805 1514460 1655340 1899740 2372654 2593366 2849610 3558981 3890049 4745308 5186732 5699220 5931635 6483415 7117962 7780098 11863270 12966830 14235924 15560196 17794905 19450245 23726540 25933660 35589810 38900490 55757369 71179620 77800980 111514738 167272107 223029476 278786845 334544214 557573690 669088428 836360535 1115147380 1672721070 3345442140