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430256430 = 2325139163211
BaseRepresentation
bin11001101001010…
…011000100101110
31002222121021212100
4121221103010232
51340121201210
6110405515530
713443055632
oct3151230456
91088537770
10430256430
1120096102a
12100112ba6
136b1a6206
14411dcdc2
1527b8d5c0
hex19a5312e

430256430 has 96 divisors (see below), whose sum is σ = 1138999680. Its totient is φ = 112674240.

The previous prime is 430256413. The next prime is 430256443. The reversal of 430256430 is 34652034.

It is a junction number, because it is equal to n+sod(n) for n = 430256394 and 430256403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2039025 + ... + 2039235.

It is an arithmetic number, because the mean of its divisors is an integer number (11864580).

Almost surely, 2430256430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430256430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569499840).

430256430 is an abundant number, since it is smaller than the sum of its proper divisors (708743250).

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

430256430 is a wasteful number, since it uses less digits than its factorization.

430256430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 430256430 is about 20742.6235081293. The cubic root of 430256430 is about 754.9342398465.

It can be divided in two parts, 43025 and 6430, that added together give a triangular number (49455 = T314).

The spelling of 430256430 in words is "four hundred thirty million, two hundred fifty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 163 211 278 326 417 422 489 633 695 815 834 978 1055 1251 1266 1390 1467 1630 1899 2085 2110 2445 2502 2934 3165 3798 4170 4890 6255 6330 7335 9495 12510 14670 18990 22657 29329 34393 45314 58658 67971 68786 87987 103179 113285 135942 146645 171965 175974 203913 206358 226570 263961 293290 309537 339855 343930 407826 439935 515895 527922 619074 679710 879870 1019565 1031790 1319805 1547685 2039130 2639610 3095370 4780627 9561254 14341881 23903135 28683762 43025643 47806270 71709405 86051286 143418810 215128215 430256430