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342212000 = 2553136581
BaseRepresentation
bin10100011001011…
…011110110100000
3212211221011121112
4110121123312200
51200101241000
653542442452
711323516424
oct2431336640
9784834545
10342212000
11166195a39
1296733428
1355b8a410
1433640b84
152009b235
hex1465bda0

342212000 has 96 divisors (see below), whose sum is σ = 905630544. Its totient is φ = 126336000.

The previous prime is 342211981. The next prime is 342212027. The reversal of 342212000 is 212243.

It can be written as a sum of positive squares in 8 ways, for example, as 7907344 + 334304656 = 2812^2 + 18284^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48710 + ... + 55290.

Almost surely, 2342212000 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 342212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452815272).

342212000 is an abundant number, since it is smaller than the sum of its proper divisors (563418544).

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

342212000 is a wasteful number, since it uses less digits than its factorization.

342212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 342212000 is about 18498.9729444637. The cubic root of 342212000 is about 699.4635345473.

Adding to 342212000 its reverse (212243), we get a palindrome (342424243).

The spelling of 342212000 in words is "three hundred forty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 6581 10400 13000 13162 26000 26324 32905 52000 52648 65810 85553 105296 131620 164525 171106 210592 263240 329050 342212 427765 526480 658100 684424 822625 855530 1052960 1316200 1368848 1645250 1711060 2138825 2632400 2737696 3290500 3422120 4277650 5264800 6581000 6844240 8555300 10694125 13162000 13688480 17110600 21388250 26324000 34221200 42776500 68442400 85553000 171106000 342212000