Search a number
-
+
32034523440 = 2435413898369
BaseRepresentation
bin11101110101011010…
…000000100100110000
310001200112121101212010
4131311122000210300
51011101314222230
622414431002520
72212562646033
oct356532004460
9101615541763
1032034523440
1112649720667
126260369440
133036a3931a
14179c72d01a
15c7755a9b0
hex775680930

32034523440 has 160 divisors (see below), whose sum is σ = 102002846400. Its totient is φ = 8311767040.

The previous prime is 32034523403. The next prime is 32034523453. The reversal of 32034523440 is 4432543023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32034523398 and 32034523407.

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, 3823576 + ... + 3831944.

It is an arithmetic number, because the mean of its divisors is an integer number (637517790).

Almost surely, 232034523440 is an apocalyptic number.

32034523440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32034523440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51001423200).

32034523440 is an abundant number, since it is smaller than the sum of its proper divisors (69968322960).

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

32034523440 is a wasteful number, since it uses less digits than its factorization.

32034523440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8815 (or 8809 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The spelling of 32034523440 in words is "thirty-two billion, thirty-four million, five hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 389 410 492 615 656 778 820 984 1167 1230 1556 1640 1945 1968 2334 2460 3112 3280 3890 4668 4920 5835 6224 7780 8369 9336 9840 11670 15560 15949 16738 18672 23340 25107 31120 31898 33476 41845 46680 47847 50214 63796 66952 79745 83690 93360 95694 100428 125535 127592 133904 159490 167380 191388 200856 239235 251070 255184 318980 334760 343129 382776 401712 478470 502140 637960 669520 686258 765552 956940 1004280 1029387 1275920 1372516 1715645 1913880 2008560 2058774 2745032 3255541 3431290 3827760 4117548 5146935 5490064 6511082 6862580 8235096 9766623 10293870 13022164 13725160 16277705 16470192 19533246 20587740 26044328 27450320 32555410 39066492 41175480 48833115 52088656 65110820 78132984 82350960 97666230 130221640 133477181 156265968 195332460 260443280 266954362 390664920 400431543 533908724 667385905 781329840 800863086 1067817448 1334771810 1601726172 2002157715 2135634896 2669543620 3203452344 4004315430 5339087240 6406904688 8008630860 10678174480 16017261720 32034523440