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342312100 = 225213594463
BaseRepresentation
bin10100011001110…
…100010010100100
3212212010020220221
4110121310102210
51200112441400
653544534124
711324414314
oct2431642244
9785106827
10342312100
11166254169
1296781344
1355bc3b50
1433669444
15200bac1a
hex146744a4

342312100 has 72 divisors (see below), whose sum is σ = 813697920. Its totient is φ = 124222080.

The previous prime is 342312097. The next prime is 342312101. The reversal of 342312100 is 1213243.

It is a happy number.

It is a super-3 number, since 3×3423121003 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (342312101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74469 + ... + 78931.

It is an arithmetic number, because the mean of its divisors is an integer number (11301360).

Almost surely, 2342312100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406848960).

342312100 is an abundant number, since it is smaller than the sum of its proper divisors (471385820).

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

342312100 is a wasteful number, since it uses less digits than its factorization.

342312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 342312100 is about 18501.6783022514. The cubic root of 342312100 is about 699.5317276304.

Adding to 342312100 its reverse (1213243), we get a palindrome (343525343).

The spelling of 342312100 in words is "three hundred forty-two million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 59 65 100 118 130 236 260 295 325 590 650 767 1180 1300 1475 1534 2950 3068 3835 4463 5900 7670 8926 15340 17852 19175 22315 38350 44630 58019 76700 89260 111575 116038 223150 232076 263317 290095 446300 526634 580190 1053268 1160380 1316585 1450475 2633170 2900950 3423121 5266340 5801900 6582925 6846242 13165850 13692484 17115605 26331700 34231210 68462420 85578025 171156050 342312100