Search a number
-
+
2434041232 = 247172139541
BaseRepresentation
bin1001000100010100…
…1000010110010000
320021122002002212021
42101011020112100
514441103304412
61041305541224
7114214003060
oct22105102620
96248062767
102434041232
111039a53227
1257b1a4814
132ca3771ac
141913a13a0
15e3a4c607
hex91148590

2434041232 has 120 divisors (see below), whose sum is σ = 5777199680. Its totient is φ = 972933120.

The previous prime is 2434041223. The next prime is 2434041277. The reversal of 2434041232 is 2321404342.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2434041197 and 2434041206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4498882 + ... + 4499422.

Almost surely, 22434041232 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 2434041232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888599840).

2434041232 is an abundant number, since it is smaller than the sum of its proper divisors (3343158448).

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

2434041232 is a wasteful number, since it uses less digits than its factorization.

2434041232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2434041232 is about 49336.0034052212. The cubic root of 2434041232 is about 1345.1662949953.

Adding to 2434041232 its reverse (2321404342), we get a palindrome (4755445574).

The spelling of 2434041232 in words is "two billion, four hundred thirty-four million, forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 139 238 272 278 289 476 541 556 578 952 973 1082 1112 1156 1904 1946 2023 2164 2224 2312 2363 3787 3892 4046 4328 4624 4726 7574 7784 8092 8656 9197 9452 15148 15568 16184 16541 18394 18904 30296 32368 33082 36788 37808 40171 60592 64379 66164 73576 75199 80342 128758 132328 147152 150398 156349 160684 257516 264656 281197 300796 312698 321368 515032 526393 562394 601592 625396 642736 1030064 1052786 1094443 1124788 1203184 1250792 1278383 2105572 2188886 2249576 2501584 2556766 4211144 4377772 4499152 5113532 8422288 8755544 8948681 10227064 17511088 17897362 20454128 21732511 35794724 43465022 71589448 86930044 143178896 152127577 173860088 304255154 347720176 608510308 1217020616 2434041232