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3143540340 = 22355837793
BaseRepresentation
bin1011101101011110…
…1001111001110100
322010002010101200000
42323113221321310
522414221242330
61235532551300
7140620436433
oct27327517164
98102111600
103143540340
1113734a0426
12738922530
133b1361155
1421b6cd11a
15135e99560
hexbb5e9e74

3143540340 has 144 divisors (see below), whose sum is σ = 10008992448. Its totient is φ = 828071424.

The previous prime is 3143540297. The next prime is 3143540369. The reversal of 3143540340 is 430453413.

3143540340 is a `hidden beast` number, since 314 + 3 + 5 + 4 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399484 + ... + 407276.

It is an arithmetic number, because the mean of its divisors is an integer number (69506892).

Almost surely, 23143540340 is an apocalyptic number.

3143540340 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 3143540340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004496224).

3143540340 is an abundant number, since it is smaller than the sum of its proper divisors (6865452108).

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

3143540340 is a wasteful number, since it uses less digits than its factorization.

3143540340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3143540340 is about 56067.2840433706. The cubic root of 3143540340 is about 1464.8944916580.

Adding to 3143540340 its reverse (430453413), we get a palindrome (3573993753).

The spelling of 3143540340 in words is "three billion, one hundred forty-three million, five hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 180 243 249 270 324 332 405 415 486 498 540 747 810 830 972 996 1215 1245 1494 1620 1660 2241 2430 2490 2988 3735 4482 4860 4980 6723 7470 7793 8964 11205 13446 14940 15586 20169 22410 23379 26892 31172 33615 38965 40338 44820 46758 67230 70137 77930 80676 93516 100845 116895 134460 140274 155860 201690 210411 233790 280548 350685 403380 420822 467580 631233 646819 701370 841644 1052055 1262466 1293638 1402740 1893699 1940457 2104110 2524932 2587276 3156165 3234095 3787398 3880914 4208220 5821371 6312330 6468190 7574796 7761828 9468495 9702285 11642742 12624660 12936380 17464113 18936990 19404570 23285484 29106855 34928226 37873980 38809140 52392339 58213710 69856452 87320565 104784678 116427420 157177017 174641130 209569356 261961695 314354034 349282260 523923390 628708068 785885085 1047846780 1571770170 3143540340