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3496143240 = 2332519749297
BaseRepresentation
bin1101000001100010…
…1110100110001000
3100000122121110220200
43100120232212020
524130003040430
61334530252200
7152431504302
oct32030564610
910018543820
103496143240
111534533187
12816a27060
13439419015
14252476972
15156de9460
hexd062e988

3496143240 has 96 divisors (see below), whose sum is σ = 11420374680. Its totient is φ = 927553536.

The previous prime is 3496143239. The next prime is 3496143247. The reversal of 3496143240 is 423416943.

It is a happy number.

3496143240 is a `hidden beast` number, since 3 + 4 + 9 + 614 + 32 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2820247236 + 675896004 = 53106^2 + 25998^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3496143195 and 3496143204.

It is not an unprimeable number, because it can be changed into a prime (3496143247) 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 23 ways as a sum of consecutive naturals, for example, 46272 + ... + 95568.

Almost surely, 23496143240 is an apocalyptic number.

3496143240 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 3496143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710187340).

3496143240 is an abundant number, since it is smaller than the sum of its proper divisors (7924231440).

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

3496143240 is a wasteful number, since it uses less digits than its factorization.

3496143240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49511 (or 49504 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3496143240 is about 59128.1932752896. The cubic root of 3496143240 is about 1517.7365954980.

The spelling of 3496143240 in words is "three billion, four hundred ninety-six million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 197 360 394 591 788 985 1182 1576 1773 1970 2364 2955 3546 3940 4728 5910 7092 7880 8865 11820 14184 17730 23640 35460 49297 70920 98594 147891 197188 246485 295782 394376 443673 492970 591564 739455 887346 985940 1183128 1478910 1774692 1971880 2218365 2957820 3549384 4436730 5915640 8873460 9711509 17746920 19423018 29134527 38846036 48557545 58269054 77692072 87403581 97115090 116538108 145672635 174807162 194230180 233076216 291345270 349614324 388460360 437017905 582690540 699228648 874035810 1165381080 1748071620 3496143240