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429308340 = 223523476619
BaseRepresentation
bin11001100101101…
…011100110110100
31002220211010022220
4121211223212310
51334400331330
6110333322340
713432026546
oct3145534664
91086733286
10429308340
1120037378a
12bb9363b0
136ac33806
1441033696
1527a52710
hex1996b9b4

429308340 has 96 divisors (see below), whose sum is σ = 1281208320. Its totient is φ = 107158656.

The previous prime is 429308309. The next prime is 429308359. The reversal of 429308340 is 43803924.

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, 61551 + ... + 68169.

It is an arithmetic number, because the mean of its divisors is an integer number (13345920).

Almost surely, 2429308340 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 429308340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640604160).

429308340 is an abundant number, since it is smaller than the sum of its proper divisors (851899980).

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

429308340 is a wasteful number, since it uses less digits than its factorization.

429308340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6701 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 429308340 is about 20719.7572379601. The cubic root of 429308340 is about 754.3793211792.

The spelling of 429308340 in words is "four hundred twenty-nine million, three hundred eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 47 60 69 92 94 115 138 141 188 230 235 276 282 345 460 470 564 690 705 940 1081 1380 1410 2162 2820 3243 4324 5405 6486 6619 10810 12972 13238 16215 19857 21620 26476 32430 33095 39714 64860 66190 79428 99285 132380 152237 198570 304474 311093 397140 456711 608948 622186 761185 913422 933279 1244372 1522370 1555465 1826844 1866558 2283555 3044740 3110930 3733116 4567110 4666395 6221860 7155139 9134220 9332790 14310278 18665580 21465417 28620556 35775695 42930834 71551390 85861668 107327085 143102780 214654170 429308340