Search a number
-
+
3402506142 = 233729793929
BaseRepresentation
bin1100101011001110…
…0001111110011110
322210010102012222000
43022303201332132
523432020144032
61321343303130
7150213552660
oct31263417636
98703365860
103402506142
111496698252
127ab5aaaa6
13422bc2759
14243c60530
1514da9ee7c
hexcace1f9e

3402506142 has 128 divisors (see below), whose sum is σ = 9054720000. Its totient is φ = 926505216.

The previous prime is 3402506131. The next prime is 3402506197. The reversal of 3402506142 is 2416052043.

3402506142 is a `hidden beast` number, since 3 + 40 + 2 + 5 + 0 + 614 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864034 + ... + 867962.

It is an arithmetic number, because the mean of its divisors is an integer number (70740000).

Almost surely, 23402506142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402506142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527360000).

3402506142 is an abundant number, since it is smaller than the sum of its proper divisors (5652213858).

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

3402506142 is a wasteful number, since it uses less digits than its factorization.

3402506142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3402506142 is about 58331.0049801990. The cubic root of 3402506142 is about 1504.0639635233.

Adding to 3402506142 its reverse (2416052043), we get a palindrome (5818558185).

The spelling of 3402506142 in words is "three billion, four hundred two million, five hundred six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 79 87 126 158 174 189 203 237 261 378 406 474 522 553 609 711 783 1106 1218 1422 1566 1659 1827 2133 2291 3318 3654 3929 4266 4582 4977 5481 6873 7858 9954 10962 11787 13746 14931 16037 20619 23574 27503 29862 32074 35361 41238 48111 55006 61857 70722 82509 96222 106083 113941 123714 144333 165018 212166 227882 247527 288666 310391 341823 432999 495054 620782 683646 742581 797587 865998 931173 1025469 1485162 1595174 1862346 2050938 2172737 2392761 2793519 3076407 4345474 4785522 5587038 6152814 6518211 7178283 8380557 9001339 13036422 14356566 16761114 18002678 19554633 21534849 27004017 39109266 43069698 54008034 58663899 63009373 81012051 117327798 126018746 162024102 189028119 243036153 378056238 486072306 567084357 1134168714 1701253071 3402506142