Search a number
-
+
428614704 = 24327597207
BaseRepresentation
bin11001100011000…
…010010000110000
31002212111212211200
4121203002100300
51334211132304
6110310411200
713423110360
oct3143022060
91085455750
10428614704
111aaa3a631
12bb660b00
136aa4cb8b
1440cd29a0
1527966e39
hex198c2430

428614704 has 120 divisors (see below), whose sum is σ = 1394315520. Its totient is φ = 120369024.

The previous prime is 428614699. The next prime is 428614709. The reversal of 428614704 is 407416824.

It is an interprime number because it is at equal distance from previous prime (428614699) and next prime (428614709).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (428614709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55869 + ... + 63075.

It is an arithmetic number, because the mean of its divisors is an integer number (11619296).

Almost surely, 2428614704 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 428614704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697157760).

428614704 is an abundant number, since it is smaller than the sum of its proper divisors (965700816).

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

428614704 is a wasteful number, since it uses less digits than its factorization.

428614704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 428614704 is about 20703.0119547857. The cubic root of 428614704 is about 753.9728171407.

The spelling of 428614704 in words is "four hundred twenty-eight million, six hundred fourteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 72 84 112 118 126 144 168 177 236 252 336 354 413 472 504 531 708 826 944 1008 1062 1239 1416 1652 2124 2478 2832 3304 3717 4248 4956 6608 7207 7434 8496 9912 14414 14868 19824 21621 28828 29736 43242 50449 57656 59472 64863 86484 100898 115312 129726 151347 172968 201796 259452 302694 345936 403592 425213 454041 518904 605388 807184 850426 908082 1037808 1210776 1275639 1700852 1816164 2421552 2551278 2976491 3401704 3632328 3826917 5102556 5952982 6803408 7264656 7653834 8929473 10205112 11905964 15307668 17858946 20410224 23811928 26788419 30615336 35717892 47623856 53576838 61230672 71435784 107153676 142871568 214307352 428614704