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3402125298 = 23211213120157
BaseRepresentation
bin1100101011001000…
…0100111111110010
322210002200212112200
43022302010333302
523431421002143
61321331204030
7150210405435
oct31262047762
98702625480
103402125298
111496458100
127ab446616
13422abb2c0
14243ba181c
1514da271d3
hexcac84ff2

3402125298 has 72 divisors (see below), whose sum is σ = 8725633644. Its totient is φ = 951635520.

The previous prime is 3402125291. The next prime is 3402125317. The reversal of 3402125298 is 8925212043.

It is a happy number.

3402125298 is a `hidden beast` number, since 340 + 2 + 1 + 25 + 298 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3338875089 + 63250209 = 57783^2 + 7953^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3402125291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31765 + ... + 88392.

Almost surely, 23402125298 is an apocalyptic number.

3402125298 is an abundant number, since it is smaller than the sum of its proper divisors (5323508346).

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

3402125298 is a wasteful number, since it uses less digits than its factorization.

3402125298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120200 (or 120186 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3402125298 is about 58327.7403814000. The cubic root of 3402125298 is about 1504.0078445838.

It can be divided in two parts, 34021 and 25298, that added together give a cube (59319 = 393).

The spelling of 3402125298 in words is "three billion, four hundred two million, one hundred twenty-five thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1573 2178 2574 3146 4719 9438 14157 28314 120157 240314 360471 720942 1081413 1321727 1562041 2162826 2643454 3124082 3965181 4686123 7930362 9372246 11895543 14058369 14538997 17182451 23791086 28116738 29077994 34364902 43616991 51547353 87233982 103094706 130850973 154642059 189006961 261701946 309284118 378013922 567020883 1134041766 1701062649 3402125298