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344525020 = 2257107109211
BaseRepresentation
bin10100100010010…
…000100011011100
3220000021200110221
4110202100203130
51201144300040
654104211124
711352262060
oct2442204334
9800250427
10344525020
11167525824
1297469aa4
13564ba178
1433a83aa0
15203a674a
hex148908dc

344525020 has 96 divisors (see below), whose sum is σ = 846236160. Its totient is φ = 115395840.

The previous prime is 344524951. The next prime is 344525057. The reversal of 344525020 is 20525443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1632715 + ... + 1632925.

It is an arithmetic number, because the mean of its divisors is an integer number (8814960).

Almost surely, 2344525020 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 344525020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423118080).

344525020 is an abundant number, since it is smaller than the sum of its proper divisors (501711140).

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

344525020 is a wasteful number, since it uses less digits than its factorization.

344525020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 344525020 is about 18561.3851853788. The cubic root of 344525020 is about 701.0358948465.

The spelling of 344525020 in words is "three hundred forty-four million, five hundred twenty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 109 140 211 214 218 422 428 436 535 545 749 763 844 1055 1070 1090 1477 1498 1526 2110 2140 2180 2954 2996 3052 3745 3815 4220 5908 7385 7490 7630 11663 14770 14980 15260 22577 22999 23326 29540 45154 45998 46652 58315 81641 90308 91996 112885 114995 116630 158039 160993 163282 225770 229990 233260 316078 321986 326564 408205 451540 459980 632156 643972 790195 804965 816410 1580390 1609930 1632820 2460893 3160780 3219860 4921786 9843572 12304465 17226251 24608930 34452502 49217860 68905004 86131255 172262510 344525020