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3410020240 = 2451123316631
BaseRepresentation
bin1100101101000000…
…1100011110010000
322210122112222100221
43023100030132100
523440431121430
61322212322424
7150334456654
oct31320143620
98718488327
103410020240
11149a95a750
127b2013414
13424623973
14244c58a64
1514e58657a
hexcb40c790

3410020240 has 80 divisors (see below), whose sum is σ = 8686694016. Its totient is φ = 1234611200.

The previous prime is 3410020189. The next prime is 3410020297. The reversal of 3410020240 is 420200143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 196725 + ... + 213355.

Almost surely, 23410020240 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 3410020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343347008).

3410020240 is an abundant number, since it is smaller than the sum of its proper divisors (5276673776).

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

3410020240 is a wasteful number, since it uses less digits than its factorization.

3410020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16888 (or 16882 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3410020240 is about 58395.3785842681. The cubic root of 3410020240 is about 1505.1703416057.

Adding to 3410020240 its reverse (420200143), we get a palindrome (3830220383).

The spelling of 3410020240 in words is "three billion, four hundred ten million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 233 440 466 880 932 1165 1864 2330 2563 3728 4660 5126 9320 10252 12815 16631 18640 20504 25630 33262 41008 51260 66524 83155 102520 133048 166310 182941 205040 266096 332620 365882 665240 731764 914705 1330480 1463528 1829410 2927056 3658820 3875023 7317640 7750046 14635280 15500092 19375115 31000184 38750230 42625253 62000368 77500460 85250506 155000920 170501012 213126265 310001840 341002024 426252530 682004048 852505060 1705010120 3410020240