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430214240 = 25517277571
BaseRepresentation
bin11001101001001…
…000110001100000
31002222112010222202
4121221020301200
51340113323430
6110404552332
713442521631
oct3151106140
91088463882
10430214240
11200932365
121000b26a8
136b18cc51
14411cb888
1527b80d45
hex19a48c60

430214240 has 96 divisors (see below), whose sum is σ = 1081944864. Its totient is φ = 161095680.

The previous prime is 430214237. The next prime is 430214261. The reversal of 430214240 is 42412034.

430214240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753155 + ... + 753725.

It is an arithmetic number, because the mean of its divisors is an integer number (11270259).

Almost surely, 2430214240 is an apocalyptic number.

430214240 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 430214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540972432).

430214240 is an abundant number, since it is smaller than the sum of its proper divisors (651730624).

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

430214240 is a wasteful number, since it uses less digits than its factorization.

430214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 430214240 is about 20741.6064951585. The cubic root of 430214240 is about 754.9095633091.

Adding to 430214240 its reverse (42412034), we get a palindrome (472626274).

The spelling of 430214240 in words is "four hundred thirty million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 277 340 544 554 571 680 1108 1142 1360 1385 2216 2284 2720 2770 2855 4432 4568 4709 5540 5710 8864 9136 9418 9707 11080 11420 18272 18836 19414 22160 22840 23545 37672 38828 44320 45680 47090 48535 75344 77656 91360 94180 97070 150688 155312 158167 188360 194140 310624 316334 376720 388280 632668 753440 776560 790835 1265336 1553120 1581670 2530672 2688839 3163340 5061344 5377678 6326680 10755356 12653360 13444195 21510712 25306720 26888390 43021424 53776780 86042848 107553560 215107120 430214240