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305482401 = 33717313067
BaseRepresentation
bin10010001101010…
…100101010100001
3210021211010002000
4102031110222201
51111200414101
650151314213
710366362150
oct2215245241
9707733060
10305482401
111474894a4
128637b969
134b39a323
142c7dd597
151bc43486
hex12354aa1

305482401 has 64 divisors (see below), whose sum is σ = 565493760. Its totient is φ = 158941440.

The previous prime is 305482393. The next prime is 305482403. The reversal of 305482401 is 104284503.

It is not a de Polignac number, because 305482401 - 23 = 305482393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (305482403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98070 + ... + 101136.

It is an arithmetic number, because the mean of its divisors is an integer number (8835840).

Almost surely, 2305482401 is an apocalyptic number.

305482401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

305482401 is a deficient number, since it is larger than the sum of its proper divisors (260011359).

305482401 is a wasteful number, since it uses less digits than its factorization.

305482401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 305482401 is about 17478.0548402847. The cubic root of 305482401 is about 673.4862473072.

The spelling of 305482401 in words is "three hundred five million, four hundred eighty-two thousand, four hundred one".

Divisors: 1 3 7 9 17 21 27 31 51 63 93 119 153 189 217 279 357 459 527 651 837 1071 1581 1953 3067 3213 3689 4743 5859 9201 11067 14229 21469 27603 33201 52139 64407 82809 95077 99603 156417 193221 285231 364973 469251 579663 665539 855693 1094919 1407753 1616309 1996617 2567079 3284757 4848927 5989851 9854271 11314163 14546781 17969553 33942489 43640343 101827467 305482401