Search a number
-
+
345210138 = 232713732887
BaseRepresentation
bin10100100100110…
…111110100011010
3220001120111021200
4110210313310122
51201333211023
654131015030
711361144360
oct2444676432
9801514250
10345210138
11167953539
129773a476
1356699c70
1433bc1630
152048e743
hex14937d1a

345210138 has 96 divisors (see below), whose sum is σ = 933494016. Its totient is φ = 89766144.

The previous prime is 345210127. The next prime is 345210157. The reversal of 345210138 is 831012543.

It is a happy number.

345210138 is a `hidden beast` number, since 3 + 4 + 521 + 0 + 138 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118131 + ... + 121017.

It is an arithmetic number, because the mean of its divisors is an integer number (9723896).

Almost surely, 2345210138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345210138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466747008).

345210138 is an abundant number, since it is smaller than the sum of its proper divisors (588283878).

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

345210138 is a wasteful number, since it uses less digits than its factorization.

345210138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 345210138 is about 18579.8314847041. The cubic root of 345210138 is about 701.5002774659.

The spelling of 345210138 in words is "three hundred forty-five million, two hundred ten thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 73 78 91 117 126 146 182 219 234 273 438 511 546 657 819 949 1022 1314 1533 1638 1898 2847 2887 3066 4599 5694 5774 6643 8541 8661 9198 13286 17082 17322 19929 20209 25983 37531 39858 40418 51966 59787 60627 75062 112593 119574 121254 181881 210751 225186 262717 337779 363762 421502 525434 632253 675558 788151 1264506 1475257 1576302 1896759 2364453 2739763 2950514 3793518 4425771 4728906 5479526 8219289 8851542 13277313 16438578 19178341 24657867 26554626 38356682 49315734 57535023 115070046 172605069 345210138