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344621056 = 21513809
BaseRepresentation
bin10100100010101…
…000000000000000
3220000110120012211
4110202220000000
51201210333211
654110231504
711353142053
oct2442500000
9800416184
10344621056
1116759099a
12974b5594
1356521ab0
1433aaaa9a
15203c4e21
hex148a8000

344621056 has 64 divisors (see below), whose sum is σ = 743166900. Its totient is φ = 158859264.

The previous prime is 344621027. The next prime is 344621077. The reversal of 344621056 is 650126443.

It can be written as a sum of positive squares in 2 ways, for example, as 344473600 + 147456 = 18560^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 425580 + ... + 426388.

Almost surely, 2344621056 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 344621056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371583450).

344621056 is an abundant number, since it is smaller than the sum of its proper divisors (398545844).

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

344621056 is an frugal number, since it uses more digits than its factorization.

344621056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 344621056 is about 18563.9719887744. The cubic root of 344621056 is about 701.1010264767.

Adding to 344621056 its reverse (650126443), we get a palindrome (994747499).

The spelling of 344621056 in words is "three hundred forty-four million, six hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 809 832 1024 1618 1664 2048 3236 3328 4096 6472 6656 8192 10517 12944 13312 16384 21034 25888 26624 32768 42068 51776 53248 84136 103552 106496 168272 207104 212992 336544 414208 425984 673088 828416 1346176 1656832 2692352 3313664 5384704 6627328 10769408 13254656 21538816 26509312 43077632 86155264 172310528 344621056