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1234002042 = 2327131017459
BaseRepresentation
bin100100110001101…
…0110000001111010
310011222222210120100
41021203112001322
510011401031132
6322240540230
742402562410
oct11143260172
93158883510
101234002042
1158361aaa9
122a5321676
1316886ac30
14b9c612b0
157350537c
hex498d607a

1234002042 has 96 divisors (see below), whose sum is σ = 3323698560. Its totient is φ = 322185600.

The previous prime is 1234002031. The next prime is 1234002043. The reversal of 1234002042 is 2402004321.

It is a super-2 number, since 2×12340020422 = 3045522079320339528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1234002043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161709 + ... + 169167.

It is an arithmetic number, because the mean of its divisors is an integer number (34621860).

Almost surely, 21234002042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234002042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661849280).

1234002042 is an abundant number, since it is smaller than the sum of its proper divisors (2089696518).

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

1234002042 is a wasteful number, since it uses less digits than its factorization.

1234002042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7588 (or 7585 counting only the distinct ones).

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

The square root of 1234002042 is about 35128.3652053437. The cubic root of 1234002042 is about 1072.6020585227.

Adding to 1234002042 its reverse (2402004321), we get a palindrome (3636006363).

The spelling of 1234002042 in words is "one billion, two hundred thirty-four million, two thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 101 117 126 182 202 234 273 303 546 606 707 819 909 1313 1414 1638 1818 2121 2626 3939 4242 6363 7459 7878 9191 11817 12726 14918 18382 22377 23634 27573 44754 52213 55146 67131 82719 96967 104426 134262 156639 165438 193934 290901 313278 469917 581802 678769 753359 872703 939834 1357538 1506718 1745406 2036307 2260077 4072614 4520154 5273513 6108921 6780231 9793667 10547026 12217842 13560462 15820539 19587334 29381001 31641078 47461617 58762002 68555669 88143003 94923234 137111338 176286006 205667007 411334014 617001021 1234002042