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434459340 = 223257499691
BaseRepresentation
bin11001111001010…
…101001011001100
31010021111211011200
4121321111023030
51342210144330
6111035545500
713523562210
oct3171251314
91107454150
10434459340
11203271807
121015bb290
136c018243
14419b4940
152821da60
hex19e552cc

434459340 has 144 divisors (see below), whose sum is σ = 1511328000. Its totient is φ = 98962560.

The previous prime is 434459321. The next prime is 434459369. The reversal of 434459340 is 43954434.

It is a happy number.

It is a super-2 number, since 2×4344593402 = 377509836226471200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434459295 and 434459304.

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, 628395 + ... + 629085.

Almost surely, 2434459340 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 434459340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755664000).

434459340 is an abundant number, since it is smaller than the sum of its proper divisors (1076868660).

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

434459340 is a wasteful number, since it uses less digits than its factorization.

434459340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 434459340 is about 20843.6882532819. The cubic root of 434459340 is about 757.3844414121.

The spelling of 434459340 in words is "four hundred thirty-four million, four hundred fifty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 499 630 691 998 1260 1382 1497 1996 2073 2495 2764 2994 3455 3493 4146 4491 4837 4990 5988 6219 6910 6986 7485 8292 8982 9674 9980 10365 10479 12438 13820 13972 14511 14970 17465 17964 19348 20730 20958 22455 24185 24876 29022 29940 31095 31437 34930 41460 41916 43533 44910 48370 52395 58044 62190 62874 69860 72555 87066 89820 96740 104790 124380 125748 145110 157185 174132 209580 217665 290220 314370 344809 435330 628740 689618 870660 1034427 1379236 1724045 2068854 2413663 3103281 3448090 4137708 4827326 5172135 6206562 6896180 7240989 9654652 10344270 12068315 12413124 14481978 15516405 20688540 21722967 24136630 28963956 31032810 36204945 43445934 48273260 62065620 72409890 86891868 108614835 144819780 217229670 434459340