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431083380 = 2235721311279
BaseRepresentation
bin11001101100011…
…100111101110100
31010001011022020010
4121230130331310
51340324132010
6110435340220
713453101600
oct3154347564
91101138203
10431083380
11201376362
12100451670
136b405730
1441376500
1527ca3620
hex19b1cf74

431083380 has 144 divisors (see below), whose sum is σ = 1512241920. Its totient is φ = 90945792.

The previous prime is 431083357. The next prime is 431083417. The reversal of 431083380 is 83380134.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 32581 + ... + 43859.

It is an arithmetic number, because the mean of its divisors is an integer number (10501680).

Almost surely, 2431083380 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 431083380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756120960).

431083380 is an abundant number, since it is smaller than the sum of its proper divisors (1081158540).

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

431083380 is a wasteful number, since it uses less digits than its factorization.

431083380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11318 (or 11309 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 431083380 is about 20762.5475315531. The cubic root of 431083380 is about 755.4175898446.

The spelling of 431083380 in words is "four hundred thirty-one million, eighty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 11279 12740 19110 22558 33837 38220 45116 56395 67674 78953 112790 135348 146627 157906 169185 225580 236859 293254 315812 338370 394765 439881 473718 552671 586508 676740 733135 789530 879762 947436 1026389 1105342 1184295 1466270 1579060 1658013 1759524 2052778 2199405 2210684 2368590 2763355 2932540 3079167 3316026 4105556 4398810 4737180 5131945 5526710 6158334 6632052 7184723 8290065 8797620 10263890 11053420 12316668 14369446 15395835 16580130 20527780 21554169 28738892 30791670 33160260 35923615 43108338 61583340 71847230 86216676 107770845 143694460 215541690 431083380