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3412324140 = 2235618531093
BaseRepresentation
bin1100101101100011…
…1110111100101100
322210210220000201120
43023120332330230
523442023333030
61322333540540
7150363163611
oct31330767454
98723800646
103412324140
1114a11936a5
127b2944750
13424c4c514
14245298508
1514e88e010
hexcb63ef2c

3412324140 has 96 divisors (see below), whose sum is σ = 9731418816. Its totient is φ = 893168640.

The previous prime is 3412324129. The next prime is 3412324199. The reversal of 3412324140 is 414232143.

It is a self number, because there is not a number n which added to its sum of digits gives 3412324140.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3121434 + ... + 3122526.

It is an arithmetic number, because the mean of its divisors is an integer number (101368946).

Almost surely, 23412324140 is an apocalyptic number.

3412324140 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 3412324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865709408).

3412324140 is an abundant number, since it is smaller than the sum of its proper divisors (6319094676).

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

3412324140 is a wasteful number, since it uses less digits than its factorization.

3412324140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2017 counting only the distinct ones).

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

The square root of 3412324140 is about 58415.1019857023. The cubic root of 3412324140 is about 1505.5092429444.

Adding to 3412324140 its reverse (414232143), we get a palindrome (3826556283).

The spelling of 3412324140 in words is "three billion, four hundred twelve million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 853 915 1093 1220 1706 1830 2186 2559 3279 3412 3660 4265 4372 5118 5465 6558 8530 10236 10930 12795 13116 16395 17060 21860 25590 32790 51180 52033 65580 66673 104066 133346 156099 200019 208132 260165 266692 312198 333365 400038 520330 624396 666730 780495 800076 932329 1000095 1040660 1333460 1560990 1864658 2000190 2796987 3121980 3729316 4000380 4661645 5593974 9323290 11187948 13984935 18646580 27969870 55939740 56872069 113744138 170616207 227488276 284360345 341232414 568720690 682464828 853081035 1137441380 1706162070 3412324140