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4338850140 = 22325371973307
BaseRepresentation
bin1000000101001110…
…11001100101011100
3102012101022102110100
410002213121211130
532341221201030
61554312341100
7212343421602
oct40247314534
912171272410
104338850140
111927193369
12a110a4790
13541ba2861
142d235b872
151a5daa360
hex1029d995c

4338850140 has 144 divisors (see below), whose sum is σ = 13589608032. Its totient is φ = 1119702528.

The previous prime is 4338850091. The next prime is 4338850193. The reversal of 4338850140 is 410588334.

4338850140 is a `hidden beast` number, since 4 + 33 + 88 + 501 + 40 = 666.

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 = 4338850095 and 4338850104.

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, 1310367 + ... + 1313673.

It is an arithmetic number, because the mean of its divisors is an integer number (94372278).

Almost surely, 24338850140 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 4338850140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794804016).

4338850140 is an abundant number, since it is smaller than the sum of its proper divisors (9250757892).

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

4338850140 is a wasteful number, since it uses less digits than its factorization.

4338850140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4338850140 is about 65869.9486867874. The cubic root of 4338850140 is about 1631.0159824600.

It can be divided in two parts, 43388 and 50140, that added together give a triangular number (93528 = T432).

The spelling of 4338850140 in words is "four billion, three hundred thirty-eight million, eight hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 197 222 333 370 394 444 555 591 666 740 788 985 1110 1182 1332 1665 1773 1970 2220 2364 2955 3307 3330 3546 3940 5910 6614 6660 7092 7289 8865 9921 11820 13228 14578 16535 17730 19842 21867 29156 29763 33070 35460 36445 39684 43734 49605 59526 65601 66140 72890 87468 99210 109335 119052 122359 131202 145780 148815 198420 218670 244718 262404 297630 328005 367077 437340 489436 595260 611795 651479 656010 734154 1101231 1223590 1302958 1312020 1468308 1835385 1954437 2202462 2447180 2605916 3257395 3670770 3908874 4404924 5506155 5863311 6514790 7341540 7817748 9772185 11012310 11726622 13029580 19544370 22024620 23453244 24104723 29316555 39088740 48209446 58633110 72314169 96418892 117266220 120523615 144628338 216942507 241047230 289256676 361570845 433885014 482094460 723141690 867770028 1084712535 1446283380 2169425070 4338850140