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3348143505 = 34573759541
BaseRepresentation
bin1100011110010000…
…1001110110010001
322122100010022110000
43013210021312101
523324111043010
61312122200213
7145653515220
oct30744116621
98570108400
103348143505
111468a37853
12795353069
1341486a705
1423a94ccb7
15148e127c0
hexc7909d91

3348143505 has 160 divisors (see below), whose sum is σ = 7177294080. Its totient is φ = 1461265920.

The previous prime is 3348143479. The next prime is 3348143531. The reversal of 3348143505 is 5053418433.

3348143505 is a `hidden beast` number, since 3 + 3 + 4 + 8 + 143 + 505 = 666.

It is an interprime number because it is at equal distance from previous prime (3348143479) and next prime (3348143531).

It is not a de Polignac number, because 3348143505 - 25 = 3348143473 is a prime.

It is a super-2 number, since 2×33481435052 = 22420129860147370050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3348143505.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6188535 + ... + 6189075.

It is an arithmetic number, because the mean of its divisors is an integer number (44858088).

Almost surely, 23348143505 is an apocalyptic number.

3348143505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3348143505 is an abundant number, since it is smaller than the sum of its proper divisors (3829150575).

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

3348143505 is a wasteful number, since it uses less digits than its factorization.

3348143505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3348143505 is about 57863.1446172778. The cubic root of 3348143505 is about 1496.0106595142.

The spelling of 3348143505 in words is "three billion, three hundred forty-eight million, one hundred forty-three thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 59 63 81 105 111 135 177 185 189 259 295 315 333 405 413 531 541 555 567 777 885 945 999 1239 1295 1593 1623 1665 2065 2183 2331 2655 2705 2835 2997 3717 3787 3885 4779 4869 4995 6195 6549 6993 7965 8115 10915 11151 11361 11655 14607 14985 15281 18585 18935 19647 20017 20979 23895 24345 31919 32745 33453 34083 34965 43821 45843 55755 56805 58941 60051 73035 76405 95757 98235 100085 102249 104895 137529 140119 159595 167265 170415 176823 180153 219105 223433 229215 287271 294705 300255 306747 412587 420357 478785 511245 540459 670299 687645 700595 861813 884115 900765 1117165 1181003 1237761 1261071 1436355 1533735 1621377 2010897 2062935 2101785 2585439 2702295 3351495 3543009 3783213 4309065 5905015 6032691 6188805 6305355 8106885 8267021 10054485 10629027 11349639 12927195 17715045 18098073 18916065 24801063 30163455 31887081 41335105 53145135 56748195 74403189 90490365 95661243 124005315 159435405 223209567 372015945 478306215 669628701 1116047835 3348143505