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3361023540 = 22325723911161
BaseRepresentation
bin1100100001010101…
…0010011000110100
322200020100200112100
43020111102120310
523340410223130
61313302222100
7146201141310
oct31025223064
98606320470
103361023540
111475234806
12799724930
1341742a134
1423c542b40
1514a108c60
hexc8552634

3361023540 has 144 divisors (see below), whose sum is σ = 11701347840. Its totient is φ = 764951040.

The previous prime is 3361023529. The next prime is 3361023541. The reversal of 3361023540 is 453201633.

It is a happy number.

3361023540 is a `hidden beast` number, since 3 + 3 + 610 + 2 + 3 + 5 + 40 = 666.

It is a super-2 number, since 2×33610235402 = 22592958472868263200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361023541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295560 + ... + 306720.

It is an arithmetic number, because the mean of its divisors is an integer number (81259360).

Almost surely, 23361023540 is an apocalyptic number.

3361023540 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 3361023540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850673920).

3361023540 is an abundant number, since it is smaller than the sum of its proper divisors (8340324300).

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

3361023540 is a wasteful number, since it uses less digits than its factorization.

3361023540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11422 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3361023540 is about 57974.3351837690. The cubic root of 3361023540 is about 1497.9265485199.

The spelling of 3361023540 in words is "three billion, three hundred sixty-one million, twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 239 252 315 420 478 630 717 956 1195 1260 1434 1673 2151 2390 2868 3346 3585 4302 4780 5019 6692 7170 8365 8604 10038 10755 11161 14340 15057 16730 20076 21510 22322 25095 30114 33460 33483 43020 44644 50190 55805 60228 66966 75285 78127 100380 100449 111610 133932 150570 156254 167415 200898 223220 234381 301140 312508 334830 390635 401796 468762 502245 669660 703143 781270 937524 1004490 1171905 1406286 1562540 2008980 2343810 2667479 2812572 3515715 4687620 5334958 7031430 8002437 10669916 13337395 14062860 16004874 18672353 24007311 26674790 32009748 37344706 40012185 48014622 53349580 56017059 74689412 80024370 93361765 96029244 112034118 120036555 160048740 168051177 186723530 224068236 240073110 280085295 336102354 373447060 480146220 560170590 672204708 840255885 1120341180 1680511770 3361023540