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3143359840 = 255172115477
BaseRepresentation
bin1011101101011011…
…1101110101100000
322010001210020001211
42323112331311200
522414200003330
61235525035504
7140616055255
oct27326756540
98101706054
103143359840
111373387855
12738855b94
133b12c9c4a
1421b68342c
15135e60d2a
hexbb5bdd60

3143359840 has 96 divisors (see below), whose sum is σ = 7901730144. Its totient is φ = 1177559040.

The previous prime is 3143359811. The next prime is 3143359841. The reversal of 3143359840 is 489533413.

It is a happy number.

It is a super-2 number, since 2×31433598402 = 19761422167449651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3143359793 and 3143359802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143359841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 571182 + ... + 576658.

It is an arithmetic number, because the mean of its divisors is an integer number (82309689).

Almost surely, 23143359840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3143359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950865072).

3143359840 is an abundant number, since it is smaller than the sum of its proper divisors (4758370304).

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

3143359840 is a wasteful number, since it uses less digits than its factorization.

3143359840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 3143359840 is about 56065.6743471440. The cubic root of 3143359840 is about 1464.8664533648.

The spelling of 3143359840 in words is "three billion, one hundred forty-three million, three hundred fifty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 211 272 340 422 544 680 844 1055 1360 1688 2110 2720 3376 3587 4220 5477 6752 7174 8440 10954 14348 16880 17935 21908 27385 28696 33760 35870 43816 54770 57392 71740 87632 93109 109540 114784 143480 175264 186218 219080 286960 372436 438160 465545 573920 744872 876320 931090 1155647 1489744 1862180 2311294 2979488 3724360 4622588 5778235 7448720 9245176 11556470 14897440 18490352 19645999 23112940 36980704 39291998 46225880 78583996 92451760 98229995 157167992 184903520 196459990 314335984 392919980 628671968 785839960 1571679920 3143359840