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3401361342 = 233196154347
BaseRepresentation
bin1100101010111100…
…1010011110111110
322210001021001121000
43022233022132332
523431222030332
61321302551130
7150201044241
oct31257123676
98701231530
103401361342
111495a86135
127ab1384a6
134228b1662
14243a43258
1514d925b7c
hexcabca7be

3401361342 has 64 divisors (see below), whose sum is σ = 8086982400. Its totient is φ = 1056486240.

The previous prime is 3401361319. The next prime is 3401361347. The reversal of 3401361342 is 2431631043.

3401361342 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 3 + 613 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401361347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35413 + ... + 89759.

It is an arithmetic number, because the mean of its divisors is an integer number (126359100).

Almost surely, 23401361342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401361342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043491200).

3401361342 is an abundant number, since it is smaller than the sum of its proper divisors (4685621058).

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

3401361342 is a wasteful number, since it uses less digits than its factorization.

3401361342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54438 (or 54432 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3401361342 is about 58321.1911915386. The cubic root of 3401361342 is about 1503.8952598777.

Adding to 3401361342 its reverse (2431631043), we get a palindrome (5832992385).

The spelling of 3401361342 in words is "three billion, four hundred one million, three hundred sixty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 61 114 122 171 183 342 366 513 549 1026 1098 1159 1647 2318 3294 3477 6954 10431 20862 31293 54347 62586 108694 163041 326082 489123 978246 1032593 1467369 2065186 2934738 3097779 3315167 6195558 6630334 9293337 9945501 18586674 19891002 27880011 29836503 55760022 59673006 62988173 89509509 125976346 179019018 188964519 377929038 566893557 1133787114 1700680671 3401361342