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2683932342 = 2371313073761
BaseRepresentation
bin1001111111111001…
…1000111010110110
320221001021220000120
42133332120322312
520444041313332
61122153552410
7123340022430
oct23776307266
96831256016
102683932342
111158012103
1262aa15706
1333a07c160
141b664d650
1510a95e32c
hex9ff98eb6

2683932342 has 64 divisors (see below), whose sum is σ = 6613415424. Its totient is φ = 707120640.

The previous prime is 2683932337. The next prime is 2683932347. The reversal of 2683932342 is 2432393862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2683932337) and next prime (2683932347).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2683932294 and 2683932303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2683932347) 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, 711742 + ... + 715502.

It is an arithmetic number, because the mean of its divisors is an integer number (103334616).

Almost surely, 22683932342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2683932342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306707712).

2683932342 is an abundant number, since it is smaller than the sum of its proper divisors (3929483082).

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

2683932342 is a wasteful number, since it uses less digits than its factorization.

2683932342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093.

The product of its digits is 373248, while the sum is 42.

The square root of 2683932342 is about 51806.6824068093. The cubic root of 2683932342 is about 1389.7089503277.

It can be divided in two parts, 268 and 3932342, that added together give a triangular number (3932610 = T2804).

The spelling of 2683932342 in words is "two billion, six hundred eighty-three million, nine hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 1307 2614 3761 3921 7522 7842 9149 11283 16991 18298 22566 26327 27447 33982 48893 50973 52654 54894 78981 97786 101946 118937 146679 157962 237874 293358 342251 356811 684502 713622 1026753 2053506 4915627 9831254 14746881 29493762 34409389 63903151 68818778 103228167 127806302 191709453 206456334 383418906 447322057 894644114 1341966171 2683932342