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431434140 = 2235193371123
BaseRepresentation
bin11001101101110…
…010100110011100
31010001211010101020
4121231302212130
51340421343030
6110451044140
713456062324
oct3155624634
91101733336
10431434140
11201595945
121005a0650
136b4c9297
1441428284
1527d22510
hex19b7299c

431434140 has 96 divisors (see below), whose sum is σ = 1276504320. Its totient is φ = 108573696.

The previous prime is 431434123. The next prime is 431434153. The reversal of 431434140 is 41434134.

It is a super-2 number, since 2×4314341402 = 372270834315079200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 431434140.

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, 383619 + ... + 384741.

It is an arithmetic number, because the mean of its divisors is an integer number (13296920).

Almost surely, 2431434140 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 431434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638252160).

431434140 is an abundant number, since it is smaller than the sum of its proper divisors (845070180).

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

431434140 is a wasteful number, since it uses less digits than its factorization.

431434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1489 counting only the distinct ones).

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

The square root of 431434140 is about 20770.9927543197. The cubic root of 431434140 is about 755.6224214019.

Adding to 431434140 its reverse (41434134), we get a palindrome (472868274).

The spelling of 431434140 in words is "four hundred thirty-one million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 337 380 570 674 1011 1123 1140 1348 1685 2022 2246 3369 3370 4044 4492 5055 5615 6403 6738 6740 10110 11230 12806 13476 16845 19209 20220 21337 22460 25612 32015 33690 38418 42674 64011 64030 67380 76836 85348 96045 106685 128022 128060 192090 213370 256044 320055 378451 384180 426740 640110 756902 1135353 1280220 1513804 1892255 2270706 3784510 4541412 5676765 7190569 7569020 11353530 14381138 21571707 22707060 28762276 35952845 43143414 71905690 86286828 107858535 143811380 215717070 431434140