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3242061024 = 253174346199
BaseRepresentation
bin1100000100111101…
…1110110011100000
322100221111202122020
43001033132303200
523114431423044
61253412341440
7143225030646
oct30117366340
98327452566
103242061024
111414071484
12765914880
133c88a7507
1422a817196
1513e95aa19
hexc13dece0

3242061024 has 96 divisors (see below), whose sum is σ = 9220780800. Its totient is φ = 993441792.

The previous prime is 3242060999. The next prime is 3242061037. The reversal of 3242061024 is 4201602423.

3242061024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3242060985 and 3242061003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47077 + ... + 93275.

It is an arithmetic number, because the mean of its divisors is an integer number (96049800).

Almost surely, 23242061024 is an apocalyptic number.

3242061024 is a gapful number since it is divisible by the number (34) 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 3242061024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610390400).

3242061024 is an abundant number, since it is smaller than the sum of its proper divisors (5978719776).

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

3242061024 is a wasteful number, since it uses less digits than its factorization.

3242061024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46272 (or 46264 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3242061024 is about 56939.0992552569. The cubic root of 3242061024 is about 1480.0409387263.

Adding to 3242061024 its reverse (4201602423), we get a palindrome (7443663447).

The spelling of 3242061024 in words is "three billion, two hundred forty-two million, sixty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 68 86 96 102 129 136 172 204 258 272 344 408 516 544 688 731 816 1032 1376 1462 1632 2064 2193 2924 4128 4386 5848 8772 11696 17544 23392 35088 46199 70176 92398 138597 184796 277194 369592 554388 739184 785383 1108776 1478368 1570766 1986557 2217552 2356149 3141532 3973114 4435104 4712298 5959671 6283064 7946228 9424596 11919342 12566128 15892456 18849192 23838684 25132256 31784912 33771469 37698384 47677368 63569824 67542938 75396768 95354736 101314407 135085876 190709472 202628814 270171752 405257628 540343504 810515256 1080687008 1621030512 3242061024