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2040120342 = 232132739187
BaseRepresentation
bin111100110011001…
…1100010000010110
312021011211211222200
41321212130100112
513134232322332
6534234505330
7101361510501
oct17146342026
95234754880
102040120342
1195765a677
1248b295246
13266883900
14154d40138
15be18a17c
hex7999c416

2040120342 has 72 divisors (see below), whose sum is σ = 4852531944. Its totient is φ = 619062912.

The previous prime is 2040120283. The next prime is 2040120359. The reversal of 2040120342 is 2430210402.

2040120342 is a `hidden beast` number, since 20 + 401 + 203 + 42 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 217473 + ... + 226659.

It is an arithmetic number, because the mean of its divisors is an integer number (67396277).

Almost surely, 22040120342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040120342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426265972).

2040120342 is an abundant number, since it is smaller than the sum of its proper divisors (2812411602).

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

2040120342 is a wasteful number, since it uses less digits than its factorization.

2040120342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9294 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2040120342 is about 45167.6913512303. The cubic root of 2040120342 is about 1268.2900794042.

Adding to 2040120342 its reverse (2430210402), we get a palindrome (4470330744).

The spelling of 2040120342 in words is "two billion, forty million, one hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 169 219 234 338 438 507 657 949 1014 1314 1521 1898 2847 3042 5694 8541 9187 12337 17082 18374 24674 27561 37011 55122 74022 82683 111033 119431 165366 222066 238862 358293 670651 716586 1074879 1341302 1552603 2011953 2149758 3105206 4023906 4657809 6035859 8718463 9315618 12071718 13973427 17436926 26155389 27946854 52310778 78466167 113340019 156932334 226680038 340020057 680040114 1020060171 2040120342