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431421240 = 233517732897
BaseRepresentation
bin11001101101101…
…111011100111000
31010001210110200110
4121231233130320
51340420434430
6110450504320
713456006605
oct3155573470
91101713613
10431421240
11201587188
121005950a0
136b4c3453
14414236ac
1527d1d7b0
hex19b6f738

431421240 has 128 divisors (see below), whose sum is σ = 1389648960. Its totient is φ = 106758144.

The previous prime is 431421227. The next prime is 431421259. The reversal of 431421240 is 42124134.

It is a super-2 number, since 2×4314212402 = 372248572646275200, which contains 22 as substring.

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, 147472 + ... + 150368.

Almost surely, 2431421240 is an apocalyptic number.

431421240 is a gapful number since it is divisible by the number (40) 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 431421240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694824480).

431421240 is an abundant number, since it is smaller than the sum of its proper divisors (958227720).

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

431421240 is a wasteful number, since it uses less digits than its factorization.

431421240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 431421240 is about 20770.6822227870. The cubic root of 431421240 is about 755.6148902204.

Adding to 431421240 its reverse (42124134), we get a palindrome (473545374).

The spelling of 431421240 in words is "four hundred thirty-one million, four hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 73 85 102 120 136 146 170 204 219 255 292 340 365 408 438 510 584 680 730 876 1020 1095 1241 1460 1752 2040 2190 2482 2897 2920 3723 4380 4964 5794 6205 7446 8691 8760 9928 11588 12410 14485 14892 17382 18615 23176 24820 28970 29784 34764 37230 43455 49249 49640 57940 69528 74460 86910 98498 115880 147747 148920 173820 196996 211481 246245 295494 347640 393992 422962 492490 590988 634443 738735 845924 984980 1057405 1181976 1268886 1477470 1691848 1969960 2114810 2537772 2954940 3172215 3595177 4229620 5075544 5909880 6344430 7190354 8459240 10785531 12688860 14380708 17975885 21571062 25377720 28761416 35951770 43142124 53927655 71903540 86284248 107855310 143807080 215710620 431421240