Search a number
-
+
35104220320 = 2551321578269
BaseRepresentation
bin100000101100010111…
…111110010010100000
310100121110210011100011
4200230113332102200
51033343140022240
624043205134304
72351625643441
oct405427762240
9110543704304
1035104220320
1113984465334
1269783ba394
1334059b4400
1419b02b92c8
15da6cba6ea
hex82c5fe4a0

35104220320 has 144 divisors (see below), whose sum is σ = 90386898840. Its totient is φ = 12877443072.

The previous prime is 35104220299. The next prime is 35104220323. The reversal of 35104220320 is 2302240153.

It can be written as a sum of positive squares in 12 ways, for example, as 190550416 + 34913669904 = 13804^2 + 186852^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35104220291 and 35104220300.

It is not an unprimeable number, because it can be changed into a prime (35104220323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4241146 + ... + 4249414.

Almost surely, 235104220320 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 35104220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45193449420).

35104220320 is an abundant number, since it is smaller than the sum of its proper divisors (55282678520).

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

35104220320 is a wasteful number, since it uses less digits than its factorization.

35104220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8467 (or 8446 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 35104220320 its reverse (2302240153), we get a palindrome (37406460473).

The spelling of 35104220320 in words is "thirty-five billion, one hundred four million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 157 160 169 208 260 314 338 416 520 628 676 785 845 1040 1256 1352 1570 1690 2041 2080 2512 2704 3140 3380 4082 5024 5408 6280 6760 8164 8269 10205 12560 13520 16328 16538 20410 25120 26533 27040 32656 33076 40820 41345 53066 65312 66152 81640 82690 106132 107497 132304 132665 163280 165380 212264 214994 264608 265330 326560 330760 424528 429988 530660 537485 661520 849056 859976 1061320 1074970 1298233 1323040 1397461 1719952 2122640 2149940 2596466 2794922 3439904 4245280 4299880 5192932 5589844 6491165 6987305 8599760 10385864 11179688 12982330 13974610 16877029 17199520 20771728 22359376 25964660 27949220 33754058 41543456 44718752 51929320 55898440 67508116 84385145 103858640 111796880 135016232 168770290 207717280 219401377 223593760 270032464 337540580 438802754 540064928 675081160 877605508 1097006885 1350162320 1755211016 2194013770 2700324640 3510422032 4388027540 7020844064 8776055080 17552110160 35104220320