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420350024 = 231723612203
BaseRepresentation
bin11001000011100…
…000100001001000
31002021221222211102
4121003200201020
51330102200044
6105413320532
713262626163
oct3103404110
91067858742
10420350024
111a6305216
12b8936148
1369118133
143db80ada
1526d8324e
hex190e0848

420350024 has 64 divisors (see below), whose sum is σ = 885479040. Its totient is φ = 186024960.

The previous prime is 420350023. The next prime is 420350059. The reversal of 420350024 is 420053024.

It is a junction number, because it is equal to n+sod(n) for n = 420349978 and 420350005.

It is not an unprimeable number, because it can be changed into a prime (420350023) 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, 189707 + ... + 191909.

It is an arithmetic number, because the mean of its divisors is an integer number (13835610).

Almost surely, 2420350024 is an apocalyptic number.

It is an amenable number.

420350024 is an abundant number, since it is smaller than the sum of its proper divisors (465129016).

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

420350024 is a wasteful number, since it uses less digits than its factorization.

420350024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 420350024 is about 20502.4394646101. The cubic root of 420350024 is about 749.0952194537.

The spelling of 420350024 in words is "four hundred twenty million, three hundred fifty thousand, twenty-four".

Divisors: 1 2 4 8 17 23 34 46 61 68 92 122 136 184 244 391 488 782 1037 1403 1564 2074 2203 2806 3128 4148 4406 5612 8296 8812 11224 17624 23851 37451 47702 50669 74902 95404 101338 134383 149804 190808 202676 268766 299608 405352 537532 861373 1075064 1722746 2284511 3090809 3445492 4569022 6181618 6890984 9138044 12363236 18276088 24726472 52543753 105087506 210175012 420350024