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344642130 = 232571992749
BaseRepresentation
bin10100100010101…
…101001001010010
3220000111122010100
4110202231021102
51201212022010
654110513230
711353260360
oct2442551122
9800448110
10344642130
111675a5808
1297505816
135652b571
1433ab4630
15203cb2c0
hex148ad252

344642130 has 96 divisors (see below), whose sum is σ = 1029600000. Its totient is φ = 78350976.

The previous prime is 344642107. The next prime is 344642153. The reversal of 344642130 is 31246443.

344642130 is a `hidden beast` number, since 3 + 4 + 4 + 642 + 13 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (344642107) and next prime (344642153).

It is a junction number, because it is equal to n+sod(n) for n = 344642094 and 344642103.

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, 123996 + ... + 126744.

It is an arithmetic number, because the mean of its divisors is an integer number (10725000).

Almost surely, 2344642130 is an apocalyptic number.

344642130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344642130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514800000).

344642130 is an abundant number, since it is smaller than the sum of its proper divisors (684957870).

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

344642130 is a wasteful number, since it uses less digits than its factorization.

344642130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 344642130 is about 18564.5395849183. The cubic root of 344642130 is about 701.1153172478.

Adding to 344642130 its reverse (31246443), we get a palindrome (375888573).

The spelling of 344642130 in words is "three hundred forty-four million, six hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 199 210 315 398 597 630 995 1194 1393 1791 1990 2749 2786 2985 3582 4179 5498 5970 6965 8247 8358 8955 12537 13745 13930 16494 17910 19243 20895 24741 25074 27490 38486 41235 41790 49482 57729 62685 82470 96215 115458 123705 125370 173187 192430 247410 288645 346374 547051 577290 865935 1094102 1641153 1731870 2735255 3282306 3829357 4923459 5470510 7658714 8205765 9846918 11488071 16411530 19146785 22976142 24617295 34464213 38293570 49234590 57440355 68928426 114880710 172321065 344642130