Search a number
-
+
102342312 = 23331747593
BaseRepresentation
bin1100001100110…
…01111010101000
321010120112021000
412012121322220
5202144423222
614053315000
72351616042
oct606317250
9233515230
10102342312
1152851326
122a335a60
13182839a7
14d840a92
158eb89ac
hex6199ea8

102342312 has 128 divisors (see below), whose sum is σ = 307929600. Its totient is φ = 31371264.

The previous prime is 102342301. The next prime is 102342353. The reversal of 102342312 is 213243201.

102342312 is a `hidden beast` number, since 10 + 2 + 342 + 312 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172288 + ... + 172880.

It is an arithmetic number, because the mean of its divisors is an integer number (2405700).

Almost surely, 2102342312 is an apocalyptic number.

102342312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153964800).

102342312 is an abundant number, since it is smaller than the sum of its proper divisors (205587288).

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

102342312 is a wasteful number, since it uses less digits than its factorization.

102342312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102342312 is about 10116.4377129501. The cubic root of 102342312 is about 467.7549670614.

Adding to 102342312 its reverse (213243201), we get a palindrome (315585513).

The spelling of 102342312 in words is "one hundred two million, three hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 47 51 54 68 72 94 102 108 136 141 153 188 204 216 282 306 376 408 423 459 564 593 612 799 846 918 1128 1186 1224 1269 1598 1692 1779 1836 2372 2397 2538 3196 3384 3558 3672 4744 4794 5076 5337 6392 7116 7191 9588 10081 10152 10674 14232 14382 16011 19176 20162 21348 21573 27871 28764 30243 32022 40324 42696 43146 55742 57528 60486 64044 80648 83613 86292 90729 111484 120972 128088 167226 172584 181458 222968 241944 250839 272187 334452 362916 473807 501678 544374 668904 725832 752517 947614 1003356 1088748 1421421 1505034 1895228 2006712 2177496 2842842 3010068 3790456 4264263 5685684 6020136 8528526 11371368 12792789 17057052 25585578 34114104 51171156 102342312