Search a number
-
+
423545340 = 2235193131187
BaseRepresentation
bin11001001111101…
…100100111111100
31002111222022222110
4121033230213330
51331411422330
6110010014020
713332035031
oct3117544774
91074868873
10423545340
111a8097979
12b9a17310
136999665a
1440373388
15272b4db0
hex193ec9fc

423545340 has 96 divisors (see below), whose sum is σ = 1253387520. Its totient is φ = 106569216.

The previous prime is 423545329. The next prime is 423545351. The reversal of 423545340 is 43545324.

It is an interprime number because it is at equal distance from previous prime (423545329) and next prime (423545351).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 423545298 and 423545307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356227 + ... + 357413.

It is an arithmetic number, because the mean of its divisors is an integer number (13056120).

Almost surely, 2423545340 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 423545340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626693760).

423545340 is an abundant number, since it is smaller than the sum of its proper divisors (829842180).

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

423545340 is a wasteful number, since it uses less digits than its factorization.

423545340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 423545340 is about 20580.2172000200. The cubic root of 423545340 is about 750.9885276229.

The spelling of 423545340 in words is "four hundred twenty-three million, five hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 313 380 570 626 939 1140 1187 1252 1565 1878 2374 3130 3561 3756 4695 4748 5935 5947 6260 7122 9390 11870 11894 14244 17805 17841 18780 22553 23740 23788 29735 35610 35682 45106 59470 67659 71220 71364 89205 90212 112765 118940 135318 178410 225530 270636 338295 356820 371531 451060 676590 743062 1114593 1353180 1486124 1857655 2229186 3715310 4458372 5572965 7059089 7430620 11145930 14118178 21177267 22291860 28236356 35295445 42354534 70590890 84709068 105886335 141181780 211772670 423545340