Search a number
-
+
4234968 = 2332131449
BaseRepresentation
bin10000001001111011011000
321222011021200
4100021323120
52041004333
6230434200
750665563
oct20117330
97864250
104234968
112432881
121502960
13b537ca
147c34da
15589c13
hex409ed8

4234968 has 48 divisors (see below), whose sum is σ = 11583000. Its totient is φ = 1397760.

The previous prime is 4234963. The next prime is 4234973. The reversal of 4234968 is 8694324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4234963) and next prime (4234973).

It is a super-2 number, since 2×42349682 = 35869907922048, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 4 + 215 + 33 + 411 + 92 + 65 + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9208 + ... + 9656.

Almost surely, 24234968 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 4234968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791500).

4234968 is an abundant number, since it is smaller than the sum of its proper divisors (7348032).

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

4234968 is a wasteful number, since it uses less digits than its factorization.

4234968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 585 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4234968 is about 2057.9037878385. The cubic root of 4234968 is about 161.7893925286.

The spelling of 4234968 in words is "four million, two hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 449 524 786 898 1048 1179 1347 1572 1796 2358 2694 3144 3592 4041 4716 5388 8082 9432 10776 16164 32328 58819 117638 176457 235276 352914 470552 529371 705828 1058742 1411656 2117484 4234968