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3406678740 = 2232539294817
BaseRepresentation
bin1100101100001101…
…1100101011010100
322210102021012200200
43023003130223110
523434102204430
61322012540500
7150264201663
oct31303345324
98712235620
103406678740
111498a88183
127b0a81730
13423a23a4a
14244628dda
1514e126460
hexcb0dcad4

3406678740 has 72 divisors (see below), whose sum is σ = 10338368040. Its totient is φ = 908027904.

The previous prime is 3406678727. The next prime is 3406678747. The reversal of 3406678740 is 478766043.

3406678740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46621584 + 3360057156 = 6828^2 + 57966^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406678747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704812 + ... + 709628.

It is an arithmetic number, because the mean of its divisors is an integer number (143588445).

Almost surely, 23406678740 is an apocalyptic number.

3406678740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3406678740 is an abundant number, since it is smaller than the sum of its proper divisors (6931689300).

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

3406678740 is a wasteful number, since it uses less digits than its factorization.

3406678740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8761 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3406678740 is about 58366.7605748340. The cubic root of 3406678740 is about 1504.6785390104.

The spelling of 3406678740 in words is "three billion, four hundred six million, six hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3929 4817 7858 9634 11787 14451 15716 19268 19645 23574 24085 28902 35361 39290 43353 47148 48170 57804 58935 70722 72255 78580 86706 96340 117870 141444 144510 173412 176805 216765 235740 289020 353610 433530 707220 867060 18925993 37851986 56777979 75703972 94629965 113555958 170333937 189259930 227111916 283889895 340667874 378519860 567779790 681335748 851669685 1135559580 1703339370 3406678740