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3090329600 = 21252103293
BaseRepresentation
bin1011100000110010…
…1011000000000000
321222101000000020212
42320030223000000
522312111021400
61230352253252
7136403240201
oct27014530000
97871000225
103090329600
111346457406
12722b41228
133a33204c7
142145db5a8
15131488335
hexb832b000

3090329600 has 156 divisors (see below), whose sum is σ = 7763888496. Its totient is φ = 1219952640.

The previous prime is 3090329597. The next prime is 3090329629. The reversal of 3090329600 is 69230903.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10547054 + ... + 10547346.

It is an arithmetic number, because the mean of its divisors is an integer number (49768516).

Almost surely, 23090329600 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 3090329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881944248).

3090329600 is an abundant number, since it is smaller than the sum of its proper divisors (4673558896).

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

3090329600 is a wasteful number, since it uses less digits than its factorization.

3090329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 3090329600 is about 55590.7330406786. The cubic root of 3090329600 is about 1456.5819836604.

The spelling of 3090329600 in words is "three billion, ninety million, three hundred twenty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 128 160 200 206 256 293 320 400 412 512 515 586 640 800 824 1024 1030 1172 1280 1465 1600 1648 2048 2060 2344 2560 2575 2930 3200 3296 4096 4120 4688 5120 5150 5860 6400 6592 7325 8240 9376 10240 10300 11720 12800 13184 14650 16480 18752 20480 20600 23440 25600 26368 29300 30179 32960 37504 41200 46880 51200 52736 58600 60358 65920 75008 82400 93760 102400 105472 117200 120716 131840 150016 150895 164800 187520 210944 234400 241432 263680 300032 301790 329600 375040 421888 468800 482864 527360 600064 603580 659200 750080 754475 937600 965728 1054720 1200128 1207160 1318400 1500160 1508950 1875200 1931456 2109440 2414320 2636800 3000320 3017900 3750400 3862912 4828640 5273600 6000640 6035800 7500800 7725824 9657280 10547200 12071600 15001600 15451648 19314560 24143200 30003200 30903296 38629120 48286400 61806592 77258240 96572800 123613184 154516480 193145600 309032960 386291200 618065920 772582400 1545164800 3090329600