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3135551340 = 2235291939337
BaseRepresentation
bin1011101011100100…
…1011011101101100
322002112002111211010
42322321023131230
522410200120330
61235045425220
7140462514045
oct27271133554
98075074733
103135551340
111369a34149
1273610b210
133ac7c4a2c
1421a60d8cc
1513541c3b0
hexbae4b76c

3135551340 has 96 divisors (see below), whose sum is σ = 9130322880. Its totient is φ = 803045376.

The previous prime is 3135551339. The next prime is 3135551351. The reversal of 3135551340 is 431555313.

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 = 3135551298 and 3135551307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331152 + ... + 340488.

It is an arithmetic number, because the mean of its divisors is an integer number (95107530).

Almost surely, 23135551340 is an apocalyptic number.

3135551340 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 3135551340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565161440).

3135551340 is an abundant number, since it is smaller than the sum of its proper divisors (5994771540).

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

3135551340 is a wasteful number, since it uses less digits than its factorization.

3135551340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9571 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 3135551340 is about 55995.9939638542. The cubic root of 3135551340 is about 1463.6524769343.

The spelling of 3135551340 in words is "three billion, one hundred thirty-five million, five hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 193 290 348 386 435 579 580 772 870 965 1158 1740 1930 2316 2895 3860 5597 5790 9337 11194 11580 16791 18674 22388 27985 28011 33582 37348 46685 55970 56022 67164 83955 93370 111940 112044 140055 167910 186740 270773 280110 335820 541546 560220 812319 1083092 1353865 1624638 1802041 2707730 3249276 3604082 4061595 5406123 5415460 7208164 8123190 9010205 10812246 16246380 18020410 21624492 27030615 36040820 52259189 54061230 104518378 108122460 156777567 209036756 261295945 313555134 522591890 627110268 783887835 1045183780 1567775670 3135551340