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3401410012 = 22711131276689
BaseRepresentation
bin1100101010111101…
…0110010111011100
322210001100112100121
43022233112113130
523431230110022
61321304004324
7150201336160
oct31257262734
98701315317
103401410012
111496009760
127ab1606a4
134228ca860
14243a56ca0
1514d9352c7
hexcabd65dc

3401410012 has 96 divisors (see below), whose sum is σ = 8056258560. Its totient is φ = 1213470720.

The previous prime is 3401409989. The next prime is 3401410013. The reversal of 3401410012 is 2100141043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401410013) by changing a digit.

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, 505164 + ... + 511852.

It is an arithmetic number, because the mean of its divisors is an integer number (83919360).

Almost surely, 23401410012 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 3401410012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028129280).

3401410012 is an abundant number, since it is smaller than the sum of its proper divisors (4654848548).

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

3401410012 is a wasteful number, since it uses less digits than its factorization.

3401410012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3401410012 is about 58321.6084483273. The cubic root of 3401410012 is about 1503.9024329108.

Adding to 3401410012 its reverse (2100141043), we get a palindrome (5501551055).

The spelling of 3401410012 in words is "three billion, four hundred one million, four hundred ten thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 127 143 154 182 254 286 308 364 508 572 889 1001 1397 1651 1778 2002 2794 3302 3556 4004 5588 6604 6689 9779 11557 13378 18161 19558 23114 26756 36322 39116 46228 46823 72644 73579 86957 93646 127127 147158 173914 187292 254254 294316 347828 508508 515053 608699 849503 956527 1030106 1217398 1699006 1913054 2060212 2434796 3398012 3826108 5946521 6695689 9344533 11043539 11893042 13391378 18689066 22087078 23786084 26782756 37378132 44174156 65411731 77304773 121478929 130823462 154609546 242957858 261646924 309219092 485915716 850352503 1700705006 3401410012