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341363568 = 243713312521
BaseRepresentation
bin10100010110001…
…100101101110000
3212210100001210010
4110112030231300
51144342113233
653512334520
711313354030
oct2426145560
9783301703
10341363568
11165766557
12963a4440
13559511a0
143349d8c0
151ee7eb63
hex1458cb70

341363568 has 160 divisors (see below), whose sum is σ = 1120817152. Its totient is φ = 87091200.

The previous prime is 341363551. The next prime is 341363569. The reversal of 341363568 is 865363143.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341363569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134148 + ... + 136668.

Almost surely, 2341363568 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 341363568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560408576).

341363568 is an abundant number, since it is smaller than the sum of its proper divisors (779453584).

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

341363568 is a wasteful number, since it uses less digits than its factorization.

341363568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2577 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 341363568 is about 18476.0268456181. The cubic root of 341363568 is about 698.8850058784.

The spelling of 341363568 in words is "three hundred forty-one million, three hundred sixty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2521 2604 2821 3224 3472 4368 4836 5042 5208 5642 6448 7563 8463 9672 10084 10416 11284 15126 16926 17647 19344 20168 22568 30252 32773 33852 35294 40336 45136 52941 60504 65546 67704 70588 78151 98319 105882 121008 131092 135408 141176 156302 196638 211764 229411 234453 262184 282352 312604 393276 423528 458822 468906 524368 547057 625208 688233 786552 847056 917644 937812 1015963 1094114 1250416 1376466 1573104 1641171 1835288 1875624 2031926 2188228 2752932 3047889 3282342 3670576 3751248 4063852 4376456 5505864 6095778 6564684 7111741 8127704 8752912 11011728 12191556 13129368 14223482 16255408 21335223 24383112 26258736 28446964 42670446 48766224 56893928 85340892 113787856 170681784 341363568