Search a number
-
+
421406664 = 233722931223
BaseRepresentation
bin11001000111100…
…010011111001000
31002100221200021020
4121013202133020
51330340003124
6105452112440
713304616600
oct3107423710
91070850236
10421406664
111a6967078
12b9165720
13693c8073
143dd77c00
1526ee1379
hex191e27c8

421406664 has 96 divisors (see below), whose sum is σ = 1230707520. Its totient is φ = 119892864.

The previous prime is 421406663. The next prime is 421406677. The reversal of 421406664 is 466604124.

It is not an unprimeable number, because it can be changed into a prime (421406663) 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, 343957 + ... + 345179.

It is an arithmetic number, because the mean of its divisors is an integer number (12819870).

Almost surely, 2421406664 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 421406664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615353760).

421406664 is an abundant number, since it is smaller than the sum of its proper divisors (809300856).

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

421406664 is a wasteful number, since it uses less digits than its factorization.

421406664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 421406664 is about 20528.1919320723. The cubic root of 421406664 is about 749.7223647932.

The spelling of 421406664 in words is "four hundred twenty-one million, four hundred six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 293 294 392 586 588 879 1172 1176 1223 1758 2051 2344 2446 3516 3669 4102 4892 6153 7032 7338 8204 8561 9784 12306 14357 14676 16408 17122 24612 25683 28714 29352 34244 43071 49224 51366 57428 59927 68488 86142 102732 114856 119854 172284 179781 205464 239708 344568 358339 359562 479416 716678 719124 1075017 1433356 1438248 2150034 2508373 2866712 4300068 5016746 7525119 8600136 10033492 15050238 17558611 20066984 30100476 35117222 52675833 60200952 70234444 105351666 140468888 210703332 421406664