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420270344 = 231373197281
BaseRepresentation
bin11001000011001…
…101000100001000
31002021210221112022
4121003031010020
51330042122334
6105411504012
713262144654
oct3103150410
91067727468
10420270344
111a626036a
12b88b8008
13690baaa0
143db5da64
1526d6982e
hex190cd108

420270344 has 64 divisors (see below), whose sum is σ = 867691440. Its totient is φ = 189665280.

The previous prime is 420270313. The next prime is 420270373. The reversal of 420270344 is 443072024.

It can be written as a sum of positive squares in 8 ways, for example, as 310816900 + 109453444 = 17630^2 + 10462^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 1495484 + ... + 1495764.

Almost surely, 2420270344 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 420270344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433845720).

420270344 is an abundant number, since it is smaller than the sum of its proper divisors (447421096).

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

420270344 is a wasteful number, since it uses less digits than its factorization.

420270344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 420270344 is about 20500.4961891170. The cubic root of 420270344 is about 749.0478845538.

The spelling of 420270344 in words is "four hundred twenty million, two hundred seventy thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 73 104 146 197 281 292 394 562 584 788 949 1124 1576 1898 2248 2561 3653 3796 5122 7306 7592 10244 14381 14612 20488 20513 28762 29224 41026 55357 57524 82052 110714 115048 164104 186953 221428 266669 373906 442856 533338 719641 747812 1066676 1439282 1495624 2133352 2878564 4041061 5757128 8082122 16164244 32328488 52533793 105067586 210135172 420270344