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3412014030 = 23558871583
BaseRepresentation
bin1100101101011111…
…0011001111001110
322210210022021100000
43023113303033032
523441433422110
61322323145130
7150360432525
oct31327631716
98723267300
103412014030
1114a0aa1707
127b28151a6
13424b71319
142452174bc
1514e82c1c0
hexcb5f33ce

3412014030 has 96 divisors (see below), whose sum is σ = 9215990784. Its totient is φ = 908270496.

The previous prime is 3412013999. The next prime is 3412014031. The reversal of 3412014030 is 304102143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3412013994 and 3412014012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412014031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2154619 + ... + 2156201.

It is an arithmetic number, because the mean of its divisors is an integer number (95999904).

Almost surely, 23412014030 is an apocalyptic number.

3412014030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412014030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607995392).

3412014030 is an abundant number, since it is smaller than the sum of its proper divisors (5803976754).

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

3412014030 is a wasteful number, since it uses less digits than its factorization.

3412014030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3412014030 is about 58412.4475604301. The cubic root of 3412014030 is about 1505.4636349662.

Adding to 3412014030 its reverse (304102143), we get a palindrome (3716116173).

The spelling of 3412014030 in words is "three billion, four hundred twelve million, fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 887 1215 1583 1774 2430 2661 3166 4435 4749 5322 7915 7983 8870 9498 13305 14247 15830 15966 23745 23949 26610 28494 39915 42741 47490 47898 71235 71847 79830 85482 119745 128223 142470 143694 213705 215541 239490 256446 359235 384669 427410 431082 641115 718470 769338 1077705 1282230 1404121 1923345 2155410 2808242 3846690 4212363 7020605 8424726 12637089 14041210 21061815 25274178 37911267 42123630 63185445 75822534 113733801 126370890 189556335 227467602 341201403 379112670 568669005 682402806 1137338010 1706007015 3412014030