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3422312320 = 27571515059
BaseRepresentation
bin1100101111111100…
…0101011110000000
322211111200110221011
43023333011132000
524002102443240
61323332010304
7150544113640
oct31377053600
98744613834
103422312320
1114a6895999
127b6160994
1342703889b
14246738520
151506b36ea
hexcbfc5780

3422312320 has 128 divisors (see below), whose sum is σ = 9414028800. Its totient is φ = 1165363200.

The previous prime is 3422312317. The next prime is 3422312321. The reversal of 3422312320 is 232132243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3422312291 and 3422312300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422312321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673951 + ... + 679009.

It is an arithmetic number, because the mean of its divisors is an integer number (73547100).

Almost surely, 23422312320 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 3422312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707014400).

3422312320 is an abundant number, since it is smaller than the sum of its proper divisors (5991716480).

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

3422312320 is a wasteful number, since it uses less digits than its factorization.

3422312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5236 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3422312320 is about 58500.5326471478. The cubic root of 3422312320 is about 1506.9767324193.

Adding to 3422312320 its reverse (232132243), we get a palindrome (3654444563).

The spelling of 3422312320 in words is "three billion, four hundred twenty-two million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 151 160 224 280 302 320 448 560 604 640 755 896 1057 1120 1208 1510 2114 2240 2416 3020 4228 4480 4832 5059 5285 6040 8456 9664 10118 10570 12080 16912 19328 20236 21140 24160 25295 33824 35413 40472 42280 48320 50590 67648 70826 80944 84560 96640 101180 135296 141652 161888 169120 177065 202360 283304 323776 338240 354130 404720 566608 647552 676480 708260 763909 809440 1133216 1416520 1527818 1618880 2266432 2833040 3055636 3237760 3819545 4532864 5347363 5666080 6111272 7639090 10694726 11332160 12222544 15278180 21389452 22664320 24445088 26736815 30556360 42778904 48890176 53473630 61112720 85557808 97780352 106947260 122225440 171115616 213894520 244450880 342231232 427789040 488901760 684462464 855578080 1711156160 3422312320