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3412144104 = 2331498291151
BaseRepresentation
bin1100101101100001…
…0010111111101000
322210210112212202120
43023120102333220
523442002102404
61322330031240
7150361513665
oct31330227750
98723485676
103412144104
1114a1080406
127b2878520
13424bb85a5
1424524ca6c
1514e8559d9
hexcb612fe8

3412144104 has 64 divisors (see below), whose sum is σ = 8605440000. Its totient is φ = 1127404800.

The previous prime is 3412144049. The next prime is 3412144111. The reversal of 3412144104 is 4014412143.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2963929 + ... + 2965079.

It is an arithmetic number, because the mean of its divisors is an integer number (134460000).

Almost surely, 23412144104 is an apocalyptic number.

It is an amenable number.

3412144104 is an abundant number, since it is smaller than the sum of its proper divisors (5193295896).

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

3412144104 is a wasteful number, since it uses less digits than its factorization.

3412144104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3412144104 is about 58413.5609597634. The cubic root of 3412144104 is about 1505.4827653280.

Adding to 3412144104 its reverse (4014412143), we get a palindrome (7426556247).

The spelling of 3412144104 in words is "three billion, four hundred twelve million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 149 298 447 596 829 894 1151 1192 1658 1788 2302 2487 3316 3453 3576 4604 4974 6632 6906 9208 9948 13812 19896 27624 123521 171499 247042 342998 370563 494084 514497 685996 741126 954179 988168 1028994 1371992 1482252 1908358 2057988 2862537 2964504 3816716 4115976 5725074 7633432 11450148 22900296 142172671 284345342 426518013 568690684 853036026 1137381368 1706072052 3412144104