Search a number
-
+
4340404432 = 2471323912473
BaseRepresentation
bin1000000101011010…
…10101000011010000
3102012111020101112201
410002231111003100
532342120420212
61554405532544
7212362554220
oct40255250320
912174211481
104340404432
111928055101
12a11714154
135422c8160
142d2644080
151a60b5b57
hex102b550d0

4340404432 has 80 divisors (see below), whose sum is σ = 10394334720. Its totient is φ = 1709761536.

The previous prime is 4340404423. The next prime is 4340404433. The reversal of 4340404432 is 2344040434.

It is a super-2 number, since 2×43404044322 = 37678221266650485248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4340404432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4340404433) 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, 341748 + ... + 354220.

It is an arithmetic number, because the mean of its divisors is an integer number (129929184).

Almost surely, 24340404432 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 4340404432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197167360).

4340404432 is an abundant number, since it is smaller than the sum of its proper divisors (6053930288).

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

4340404432 is a wasteful number, since it uses less digits than its factorization.

4340404432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12740 (or 12734 counting only the distinct ones).

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

The square root of 4340404432 is about 65881.7458177908. The cubic root of 4340404432 is about 1631.2107170372.

Adding to 4340404432 its reverse (2344040434), we get a palindrome (6684444866).

The spelling of 4340404432 in words is "four billion, three hundred forty million, four hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 239 364 478 728 956 1456 1673 1912 3107 3346 3824 6214 6692 12428 12473 13384 21749 24856 24946 26768 43498 49712 49892 86996 87311 99784 162149 173992 174622 199568 324298 347984 349244 648596 698488 1135043 1297192 1396976 2270086 2594384 2981047 4540172 5962094 9080344 11924188 18160688 20867329 23848376 38753611 41734658 47696752 77507222 83469316 155014444 166938632 271275277 310028888 333877264 542550554 620057776 1085101108 2170202216 4340404432