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428670240 = 25353072909
BaseRepresentation
bin11001100011001…
…111110100100000
31002212121201000120
4121203033310200
51334214421430
6110311520240
713423431315
oct3143176440
91085551016
10428670240
111aaa78329
12bb689080
136aa6c23b
1440d08d0c
1527978610
hex198cfd20

428670240 has 96 divisors (see below), whose sum is σ = 1355175360. Its totient is φ = 113900544.

The previous prime is 428670217. The next prime is 428670269. The reversal of 428670240 is 42076824.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145906 + ... + 148814.

It is an arithmetic number, because the mean of its divisors is an integer number (14116410).

Almost surely, 2428670240 is an apocalyptic number.

428670240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677587680).

428670240 is an abundant number, since it is smaller than the sum of its proper divisors (926505120).

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

428670240 is a wasteful number, since it uses less digits than its factorization.

428670240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 428670240 is about 20704.3531654577. The cubic root of 428670240 is about 754.0053800506.

The spelling of 428670240 in words is "four hundred twenty-eight million, six hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 307 480 614 921 1228 1535 1842 2456 2909 3070 3684 4605 4912 5818 6140 7368 8727 9210 9824 11636 12280 14545 14736 17454 18420 23272 24560 29090 29472 34908 36840 43635 46544 49120 58180 69816 73680 87270 93088 116360 139632 147360 174540 232720 279264 349080 465440 698160 893063 1396320 1786126 2679189 3572252 4465315 5358378 7144504 8930630 10716756 13395945 14289008 17861260 21433512 26791890 28578016 35722520 42867024 53583780 71445040 85734048 107167560 142890080 214335120 428670240