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4309906432 = 210135692
BaseRepresentation
bin1000000001110001…
…11111010000000000
3102010100211221011011
410000320333100000
532311314001212
61551400130304
7211542412606
oct40070772000
912110757134
104309906432
111911914547
12a03466994
13538baa5c0
142cc585876
151a358e4a7
hex100e3f400

4309906432 has 66 divisors (see below), whose sum is σ = 9294677798. Its totient is φ = 1985691648.

The previous prime is 4309906423. The next prime is 4309906459. The reversal of 4309906432 is 2346099034.

It can be written as a sum of positive squares in 3 ways, for example, as 123298816 + 4186607616 = 11104^2 + 64704^2 .

It is a super-3 number, since 3×43099064323 (a number of 30 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 7574244 + ... + 7574812.

Almost surely, 24309906432 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 4309906432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647338899).

4309906432 is an abundant number, since it is smaller than the sum of its proper divisors (4984771366).

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

4309906432 is an frugal number, since it uses more digits than its factorization.

4309906432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 4309906432 is about 65649.8776236483. The cubic root of 4309906432 is about 1627.3811475080.

The spelling of 4309906432 in words is "four billion, three hundred nine million, nine hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 569 832 1024 1138 1664 2276 3328 4552 6656 7397 9104 13312 14794 18208 29588 36416 59176 72832 118352 145664 236704 291328 323761 473408 582656 647522 946816 1295044 1893632 2590088 3787264 4208893 5180176 7574528 8417786 10360352 16835572 20720704 33671144 41441408 67342288 82882816 134684576 165765632 269369152 331531264 538738304 1077476608 2154953216 4309906432