Search a number
-
+
431043340 = 225713372173
BaseRepresentation
bin11001101100010…
…011001100001100
31010001002021022011
4121230103030030
51340321341330
6110434431004
713452544060
oct3154231414
91101067264
10431043340
11201349272
12100432464
136b3c0440
1441365aa0
1527c9682a
hex19b1330c

431043340 has 144 divisors (see below), whose sum is σ = 1151623872. Its totient is φ = 131963904.

The previous prime is 431043331. The next prime is 431043383. The reversal of 431043340 is 43340134.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2491494 + ... + 2491666.

It is an arithmetic number, because the mean of its divisors is an integer number (7997388).

Almost surely, 2431043340 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 431043340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575811936).

431043340 is an abundant number, since it is smaller than the sum of its proper divisors (720580532).

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

431043340 is a wasteful number, since it uses less digits than its factorization.

431043340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 431043340 is about 20761.5832729587. The cubic root of 431043340 is about 755.3942008220.

Adding to 431043340 its reverse (43340134), we get a palindrome (474383474).

The spelling of 431043340 in words is "four hundred thirty-one million, forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 37 52 65 70 74 91 130 140 148 173 182 185 259 260 346 364 370 455 481 518 692 740 865 910 962 1036 1211 1295 1369 1730 1820 1924 2249 2405 2422 2590 2738 3367 3460 4498 4810 4844 5180 5476 6055 6401 6734 6845 8996 9583 9620 11245 12110 12802 13468 13690 15743 16835 17797 19166 22490 24220 25604 27380 31486 32005 33670 35594 38332 44807 44980 47915 62972 64010 67340 71188 78715 83213 88985 89614 95830 124579 128020 157430 166426 177970 179228 191660 224035 236837 249158 314860 332852 355940 416065 448070 473674 498316 582491 622895 832130 896140 947348 1164982 1184185 1245790 1657859 1664260 2329964 2368370 2491580 2912455 3078881 3315718 4736740 5824910 6157762 6631436 8289295 11649820 12315524 15394405 16578590 21552167 30788810 33157180 43104334 61577620 86208668 107760835 215521670 431043340