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305572420 = 225292512099
BaseRepresentation
bin10010001101101…
…010101001000100
3210021222200120001
4102031222221010
51111211304140
650153251044
710400215456
oct2215525104
9707880501
10305572420
1114754009a
1286403a84
134b3cc2aa
142c8242d6
151bc5ee9a
hex1236aa44

305572420 has 48 divisors (see below), whose sum is σ = 666792000. Its totient is φ = 117488000.

The previous prime is 305572409. The next prime is 305572429. The reversal of 305572420 is 24275503.

It is not an unprimeable number, because it can be changed into a prime (305572429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144531 + ... + 146629.

It is an arithmetic number, because the mean of its divisors is an integer number (13891500).

Almost surely, 2305572420 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 305572420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333396000).

305572420 is an abundant number, since it is smaller than the sum of its proper divisors (361219580).

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

305572420 is a wasteful number, since it uses less digits than its factorization.

305572420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 305572420 is about 17480.6298513526. The cubic root of 305572420 is about 673.5523947123.

The spelling of 305572420 in words is "three hundred five million, five hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 251 290 502 580 1004 1255 2099 2510 4198 5020 7279 8396 10495 14558 20990 29116 36395 41980 60871 72790 121742 145580 243484 304355 526849 608710 1053698 1217420 2107396 2634245 5268490 10536980 15278621 30557242 61114484 76393105 152786210 305572420