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420342048 = 2534723167
BaseRepresentation
bin11001000011011…
…110100100100000
31002021221120220000
4121003132210200
51330101421143
6105413220000
713262564010
oct3103364440
91067846800
10420342048
111a62aa225
12b8931600
1369114609
143db7bc40
1526d80bd3
hex190de920

420342048 has 120 divisors (see below), whose sum is σ = 1412877312. Its totient is φ = 120092544.

The previous prime is 420342047. The next prime is 420342053. The reversal of 420342048 is 840243024.

It is a happy number.

420342048 is a `hidden beast` number, since 420 + 34 + 204 + 8 = 666.

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 (420342047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6561 + ... + 29727.

Almost surely, 2420342048 is an apocalyptic number.

420342048 is a gapful number since it is divisible by the number (48) 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 420342048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706438656).

420342048 is an abundant number, since it is smaller than the sum of its proper divisors (992535264).

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

420342048 is a wasteful number, since it uses less digits than its factorization.

420342048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23196 (or 23179 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 420342048 is about 20502.2449502487. The cubic root of 420342048 is about 749.0904814806.

The spelling of 420342048 in words is "four hundred twenty million, three hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 23167 46334 69501 92668 139002 162169 185336 208503 278004 324338 370672 417006 486507 556008 625509 648676 741344 834012 973014 1112016 1251018 1297352 1459521 1668024 1876527 1946028 2224032 2502036 2594704 2919042 3336048 3753054 3892056 4378563 5004072 5189408 5838084 6672096 7506108 7784112 8757126 10008144 11676168 13135689 15012216 15568224 17514252 20016288 23352336 26271378 30024432 35028504 46704672 52542756 60048864 70057008 105085512 140114016 210171024 420342048