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431420430 = 235723179499
BaseRepresentation
bin11001101101101…
…111010000001110
31010001210102120110
4121231233100032
51340420423210
6110450500450
713456004340
oct3155572016
91101712513
10431420430
11201586611
12100594726
136b4c2c7c
1441423290
1527d1d420
hex19b6f40e

431420430 has 128 divisors (see below), whose sum is σ = 1244160000. Its totient is φ = 93608064.

The previous prime is 431420399. The next prime is 431420461. The reversal of 431420430 is 34024134.

It is an interprime number because it is at equal distance from previous prime (431420399) and next prime (431420461).

It is a super-2 number, since 2×4314204302 = 372247174842769800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 431420397 and 431420406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864321 + ... + 864819.

It is an arithmetic number, because the mean of its divisors is an integer number (9720000).

Almost surely, 2431420430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431420430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080000).

431420430 is an abundant number, since it is smaller than the sum of its proper divisors (812739570).

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

431420430 is a wasteful number, since it uses less digits than its factorization.

431420430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 431420430 is about 20770.6627241405. The cubic root of 431420430 is about 755.6144173273.

Adding to 431420430 its reverse (34024134), we get a palindrome (465444564).

The spelling of 431420430 in words is "four hundred thirty-one million, four hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 179 210 230 322 345 358 483 499 537 690 805 895 966 998 1074 1253 1497 1610 1790 2415 2495 2506 2685 2994 3493 3759 4117 4830 4990 5370 6265 6986 7485 7518 8234 10479 11477 12351 12530 14970 17465 18795 20585 20958 22954 24702 28819 34431 34930 37590 41170 52395 57385 57638 61755 68862 80339 86457 89321 104790 114770 123510 144095 160678 172155 172914 178642 241017 267963 288190 344310 401695 432285 446605 482034 535926 625247 803390 864570 893210 1205085 1250494 1339815 1875741 2054383 2410170 2679630 3126235 3751482 4108766 6163149 6252470 9378705 10271915 12326298 14380681 18757410 20543830 28761362 30815745 43142043 61631490 71903405 86284086 143806810 215710215 431420430