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3929420430 = 2335134723819
BaseRepresentation
bin1110101000110110…
…0011001010001110
3101010211220020111000
43222031203022032
531021412423210
61445525041130
7166242344145
oct35215431216
911124806430
103929420430
111737067801
12917b561a6
134a810c160
14293c2075c
1517ee82ac0
hexea36328e

3929420430 has 128 divisors (see below), whose sum is σ = 11525068800. Its totient is φ = 946622592.

The previous prime is 3929420393. The next prime is 3929420471. The reversal of 3929420430 is 340249293.

3929420430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153061 + ... + 176879.

It is an arithmetic number, because the mean of its divisors is an integer number (90039600).

Almost surely, 23929420430 is an apocalyptic number.

3929420430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3929420430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762534400).

3929420430 is an abundant number, since it is smaller than the sum of its proper divisors (7595648370).

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

3929420430 is a wasteful number, since it uses less digits than its factorization.

3929420430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23895 (or 23889 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3929420430 is about 62685.0893753850. The cubic root of 3929420430 is about 1578.0090863881.

The spelling of 3929420430 in words is "three billion, nine hundred twenty-nine million, four hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 47 54 65 78 90 94 117 130 135 141 195 234 235 270 282 351 390 423 470 585 611 702 705 846 1170 1222 1269 1410 1755 1833 2115 2538 3055 3510 3666 4230 5499 6110 6345 9165 10998 12690 16497 18330 23819 27495 32994 47638 54990 71457 82485 119095 142914 164970 214371 238190 309647 357285 428742 619294 643113 714570 928941 1071855 1119493 1286226 1548235 1857882 2143710 2238986 2786823 3096470 3215565 3358479 4644705 5573646 5597465 6431130 6716958 8360469 9289410 10075437 11194930 13934115 14553409 16720938 16792395 20150874 27868230 29106818 30226311 33584790 41802345 43660227 50377185 60452622 72767045 83604690 87320454 100754370 130980681 145534090 151131555 218301135 261961362 302263110 392942043 436602270 654903405 785884086 1309806810 1964710215 3929420430