[go: up one dir, main page]

Search a number
-
+
432740 = 225711281
BaseRepresentation
bin1101001101001100100
3210222121102
41221221210
5102321430
613135232
73451430
oct1515144
9728542
10432740
11276140
1218a518
13121c79
14b39c0
1588345
hex69a64

432740 has 48 divisors (see below), whose sum is σ = 1137024. Its totient is φ = 134400.

The previous prime is 432737. The next prime is 432743. The reversal of 432740 is 47234.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (432737) and next prime (432743).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (432743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1400 + ... + 1680.

It is an arithmetic number, because the mean of its divisors is an integer number (23688).

2432740 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 432740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568512).

432740 is an abundant number, since it is smaller than the sum of its proper divisors (704284).

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

432740 is a wasteful number, since it uses less digits than its factorization.

432740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 432740 is about 657.8297652129. The cubic root of 432740 is about 75.6384023329.

Adding to 432740 its reverse (47234), we get a palindrome (479974).

The spelling of 432740 in words is "four hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 281 308 385 562 770 1124 1405 1540 1967 2810 3091 3934 5620 6182 7868 9835 12364 15455 19670 21637 30910 39340 43274 61820 86548 108185 216370 432740