Search a number
-
+
3432402424 = 2311239717483
BaseRepresentation
bin1100110010010110…
…0100110111111000
322212012200002221201
43030211210313320
524012143334144
61324332143544
7151025640103
oct31445446770
98765602851
103432402424
111501557820
127b9607bb4
1342915c469
14247c0373a
151515081d4
hexcc964df8

3432402424 has 64 divisors (see below), whose sum is σ = 7402026240. Its totient is φ = 1476879360.

The previous prime is 3432402359. The next prime is 3432402431. The reversal of 3432402424 is 4242042343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3432402392 and 3432402401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187587 + ... + 205069.

It is an arithmetic number, because the mean of its divisors is an integer number (115656660).

Almost surely, 23432402424 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 3432402424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701013120).

3432402424 is an abundant number, since it is smaller than the sum of its proper divisors (3969623816).

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

3432402424 is a wasteful number, since it uses less digits than its factorization.

3432402424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17620 (or 17616 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 3432402424 is about 58586.7085950389. The cubic root of 3432402424 is about 1508.4563005500.

Adding to 3432402424 its reverse (4242042343), we get a palindrome (7674444767).

The spelling of 3432402424 in words is "three billion, four hundred thirty-two million, four hundred two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 97 184 194 253 388 506 776 1012 1067 2024 2134 2231 4268 4462 8536 8924 17483 17848 24541 34966 49082 69932 98164 139864 192313 196328 384626 402109 769252 804218 1538504 1608436 1695851 3216872 3391702 4423199 6783404 8846398 13566808 17692796 18654361 35385592 37308722 39004573 74617444 78009146 149234888 156018292 312036584 429050303 858100606 1716201212 3432402424