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30453800 = 23521321753
BaseRepresentation
bin111010000101…
…1000000101000
32010022012202112
41310023000220
530244010200
63004421452
7516565406
oct164130050
963265675
1030453800
1116210433
12a247888
136403700
14408a476
152a18535
hex1d0b028

30453800 has 144 divisors (see below), whose sum is σ = 82712340. Its totient is φ = 10383360.

The previous prime is 30453781. The next prime is 30453809. The reversal of 30453800 is 835403.

It can be written as a sum of positive squares in 18 ways, for example, as 2172676 + 28281124 = 1474^2 + 5318^2 .

It is not an unprimeable number, because it can be changed into a prime (30453809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 574574 + ... + 574626.

Almost surely, 230453800 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 30453800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41356170).

30453800 is an abundant number, since it is smaller than the sum of its proper divisors (52258540).

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

30453800 is a wasteful number, since it uses less digits than its factorization.

30453800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 30453800 is about 5518.4961719657. The cubic root of 30453800 is about 312.2821521707.

The spelling of 30453800 in words is "thirty million, four hundred fifty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 53 65 68 85 100 104 106 130 136 169 170 200 212 221 260 265 325 338 340 424 425 442 520 530 650 676 680 689 845 850 884 901 1060 1105 1300 1325 1352 1378 1690 1700 1768 1802 2120 2210 2600 2650 2756 2873 3380 3400 3445 3604 4225 4420 4505 5300 5512 5525 5746 6760 6890 7208 8450 8840 8957 9010 10600 11050 11492 11713 13780 14365 16900 17225 17914 18020 22100 22525 22984 23426 27560 28730 33800 34450 35828 36040 44200 44785 45050 46852 57460 58565 68900 71656 71825 89570 90100 93704 114920 117130 137800 143650 152269 179140 180200 223925 234260 287300 292825 304538 358280 447850 468520 574600 585650 609076 761345 895700 1171300 1218152 1522690 1791400 2342600 3045380 3806725 6090760 7613450 15226900 30453800