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1434431220 = 2235195323741
BaseRepresentation
bin101010101111111…
…1010111011110100
310200222010122201020
41111133322323310
510414203244340
6354200501140
750355315135
oct12537727364
93628118636
101434431220
11676776452
1234047a7b0
1319b245691
14d8715c8c
1585de69d0
hex557faef4

1434431220 has 96 divisors (see below), whose sum is σ = 4307748480. Its totient is φ = 355530240.

The previous prime is 1434431197. The next prime is 1434431231. The reversal of 1434431220 is 221344341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48550 + ... + 72290.

It is an arithmetic number, because the mean of its divisors is an integer number (44872380).

Almost surely, 21434431220 is an apocalyptic number.

1434431220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153874240).

1434431220 is an abundant number, since it is smaller than the sum of its proper divisors (2873317260).

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

1434431220 is a wasteful number, since it uses less digits than its factorization.

1434431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23825 (or 23823 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1434431220 is about 37873.8857261834. The cubic root of 1434431220 is about 1127.7856812027.

Adding to 1434431220 its reverse (221344341), we get a palindrome (1655775561).

The spelling of 1434431220 in words is "one billion, four hundred thirty-four million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 53 57 60 76 95 106 114 159 190 212 228 265 285 318 380 530 570 636 795 1007 1060 1140 1590 2014 3021 3180 4028 5035 6042 10070 12084 15105 20140 23741 30210 47482 60420 71223 94964 118705 142446 237410 284892 356115 451079 474820 712230 902158 1258273 1353237 1424460 1804316 2255395 2516546 2706474 3774819 4510790 5033092 5412948 6291365 6766185 7549638 9021580 12582730 13532370 15099276 18874095 23907187 25165460 27064740 37748190 47814374 71721561 75496380 95628748 119535935 143443122 239071870 286886244 358607805 478143740 717215610 1434431220