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342121340 = 2251189101173
BaseRepresentation
bin10100011001000…
…101101101111100
3212211202120020202
4110121011231330
51200040340330
653540503032
711322661211
oct2431055574
9784676222
10342121340
11166133910
12966aaa78
1355b58082
1433619b08
152007e445
hex14645b7c

342121340 has 96 divisors (see below), whose sum is σ = 805049280. Its totient is φ = 121088000.

The previous prime is 342121337. The next prime is 342121357. The reversal of 342121340 is 43121243.

It is a super-2 number, since 2×3421213402 = 234094022566791200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1977494 + ... + 1977666.

It is an arithmetic number, because the mean of its divisors is an integer number (8385930).

Almost surely, 2342121340 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 342121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402524640).

342121340 is an abundant number, since it is smaller than the sum of its proper divisors (462927940).

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

342121340 is a wasteful number, since it uses less digits than its factorization.

342121340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 342121340 is about 18496.5223758414. The cubic root of 342121340 is about 699.4017609832.

Adding to 342121340 its reverse (43121243), we get a palindrome (385242583).

The spelling of 342121340 in words is "three hundred forty-two million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 101 110 173 178 202 220 346 356 404 445 505 692 865 890 979 1010 1111 1730 1780 1903 1958 2020 2222 3460 3806 3916 4444 4895 5555 7612 8989 9515 9790 11110 15397 17473 17978 19030 19580 22220 30794 34946 35956 38060 44945 61588 69892 76985 87365 89890 98879 153970 169367 174730 179780 192203 197758 307940 338734 349460 384406 395516 494395 677468 768812 846835 961015 988790 1555097 1693670 1922030 1977580 3110194 3387340 3844060 6220388 7775485 15550970 17106067 31101940 34212134 68424268 85530335 171060670 342121340