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3322161504 = 2532611271489
BaseRepresentation
bin1100011000000100…
…0010100101100000
322120112020021211200
43012001002211200
523300433132004
61305353241200
7145216623024
oct30601024540
98515207750
103322161504
111455301122
12788703200
1340c37154c
14237308384
151469ce239
hexc6042960

3322161504 has 144 divisors (see below), whose sum is σ = 9684380160. Its totient is φ = 1079930880.

The previous prime is 3322161499. The next prime is 3322161541. The reversal of 3322161504 is 4051612233.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33221615042 = 22073514117319084032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2230392 + ... + 2231880.

It is an arithmetic number, because the mean of its divisors is an integer number (67252640).

Almost surely, 23322161504 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 3322161504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842190080).

3322161504 is an abundant number, since it is smaller than the sum of its proper divisors (6362218656).

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

3322161504 is a wasteful number, since it uses less digits than its factorization.

3322161504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3322161504 is about 57638.1948364103. The cubic root of 3322161504 is about 1492.1308646627.

Adding to 3322161504 its reverse (4051612233), we get a palindrome (7373773737).

The spelling of 3322161504 in words is "three billion, three hundred twenty-two million, one hundred sixty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 127 144 183 244 254 288 366 381 488 508 549 732 762 976 1016 1098 1143 1464 1489 1524 1952 2032 2196 2286 2928 2978 3048 4064 4392 4467 4572 5856 5956 6096 7747 8784 8934 9144 11912 12192 13401 15494 17568 17868 18288 23241 23824 26802 30988 35736 36576 46482 47648 53604 61976 69723 71472 90829 92964 107208 123952 139446 142944 181658 185928 189103 214416 247904 272487 278892 363316 371856 378206 428832 544974 557784 567309 726632 743712 756412 817461 1089948 1115568 1134618 1453264 1512824 1634922 1701927 2179896 2231136 2269236 2906528 3025648 3269844 3403854 4359792 4538472 6051296 6539688 6807708 8719584 9076944 11535283 13079376 13615416 18153888 23070566 26158752 27230832 34605849 46141132 54461664 69211698 92282264 103817547 138423396 184564528 207635094 276846792 369129056 415270188 553693584 830540376 1107387168 1661080752 3322161504