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30609320 = 235732397
BaseRepresentation
bin111010011000…
…0111110101000
32010121010002112
41310300332220
530313444240
63012021452
7521114000
oct164607650
963533075
1030609320
1116307265
12a301888
136459431
1440cb000
152a49665
hex1d30fa8

30609320 has 128 divisors (see below), whose sum is σ = 84672000. Its totient is φ = 9934848.

The previous prime is 30609317. The next prime is 30609349. The reversal of 30609320 is 2390603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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, 315512 + ... + 315608.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 230609320 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 30609320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336000).

30609320 is an abundant number, since it is smaller than the sum of its proper divisors (54062680).

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

30609320 is a wasteful number, since it uses less digits than its factorization.

30609320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 30609320 is about 5532.5690235188. The cubic root of 30609320 is about 312.8128323305.

Adding to 30609320 its reverse (2390603), we get a palindrome (32999923).

The spelling of 30609320 in words is "thirty million, six hundred nine thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 49 56 70 92 97 98 115 140 161 184 194 196 230 245 280 322 343 388 392 460 485 490 644 679 686 776 805 920 970 980 1127 1288 1358 1372 1610 1715 1940 1960 2231 2254 2716 2744 3220 3395 3430 3880 4462 4508 4753 5432 5635 6440 6790 6860 7889 8924 9016 9506 11155 11270 13580 13720 15617 15778 17848 19012 22310 22540 23765 27160 31234 31556 33271 38024 39445 44620 45080 47530 62468 63112 66542 78085 78890 89240 95060 109319 124936 133084 156170 157780 166355 190120 218638 266168 312340 315560 332710 437276 546595 624680 665420 765233 874552 1093190 1330840 1530466 2186380 3060932 3826165 4372760 6121864 7652330 15304660 30609320