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3504025040 = 2451753173281
BaseRepresentation
bin1101000011011011…
…0010110111010000
3100001012102220201012
43100312302313100
524134012300130
61335411230052
7152555502305
oct32066626720
910035386635
103504025040
111538a2696a
128195a8328
1343ac486c9
142535290ac
15157954995
hexd0db2dd0

3504025040 has 160 divisors (see below), whose sum is σ = 8871101856. Its totient is φ = 1282211840.

The previous prime is 3504025033. The next prime is 3504025099. The reversal of 3504025040 is 405204053.

3504025040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 57395776 + 3446629264 = 7576^2 + 58708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3504024997 and 3504025015.

It is a congruent number.

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, 12469700 + ... + 12469980.

Almost surely, 23504025040 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 3504025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435550928).

3504025040 is an abundant number, since it is smaller than the sum of its proper divisors (5367076816).

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

3504025040 is a wasteful number, since it uses less digits than its factorization.

3504025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 3504025040 is about 59194.8058532165. The cubic root of 3504025040 is about 1518.8762816411.

Adding to 3504025040 its reverse (405204053), we get a palindrome (3909229093).

The spelling of 3504025040 in words is "three billion, five hundred four million, twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 53 68 80 85 106 136 170 173 212 265 272 281 340 346 424 530 562 680 692 848 865 901 1060 1124 1360 1384 1405 1730 1802 2120 2248 2768 2810 2941 3460 3604 4240 4496 4505 4777 5620 5882 6920 7208 9010 9169 9554 11240 11764 13840 14416 14705 14893 18020 18338 19108 22480 23528 23885 29410 29786 36040 36676 38216 45845 47056 47770 48613 58820 59572 72080 73352 74465 76432 91690 95540 97226 117640 119144 146704 148930 155873 183380 191080 194452 235280 238288 243065 253181 297860 311746 366760 382160 388904 486130 506362 595720 623492 733520 777808 779365 826421 972260 1012724 1191440 1246984 1265905 1558730 1652842 1944520 2025448 2493968 2531810 2576489 3117460 3305684 3889040 4050896 4132105 5063620 5152978 6234920 6611368 8264210 10127240 10305956 12469840 12882445 13222736 16528420 20254480 20611912 25764890 33056840 41223824 43800313 51529780 66113680 87600626 103059560 175201252 206119120 219001565 350402504 438003130 700805008 876006260 1752012520 3504025040