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3422552064 = 226317
BaseRepresentation
bin1100110000000000…
…0000000000000000
322211112010122210120
43030000000000000
524002133131224
61323341100240
7150546132621
oct31400000000
98745118716
103422552064
1114a6a3a028
127b6257680
134270c0a49
1424679ba48
1515070e779
hexcc000000

3422552064 has 108 divisors (see below), whose sum is σ = 9663676344. Its totient is φ = 1073741824.

The previous prime is 3422552057. The next prime is 3422552069. The reversal of 3422552064 is 4602552243.

It is a happy number.

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is not an unprimeable number, because it can be changed into a prime (3422552069) by changing a digit.

In principle, a polygon with 3422552064 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 201326584 + ... + 201326600.

Almost surely, 23422552064 is an apocalyptic number.

3422552064 is a gapful number since it is divisible by the number (34) 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 3422552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831838172).

3422552064 is an abundant number, since it is smaller than the sum of its proper divisors (6241124280).

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

3422552064 is an frugal number, since it uses more digits than its factorization.

3422552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 3422552064 is about 58502.5816866230. The cubic root of 3422552064 is about 1507.0119211221.

The spelling of 3422552064 in words is "three billion, four hundred twenty-two million, five hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8192 8704 12288 13056 16384 17408 24576 26112 32768 34816 49152 52224 65536 69632 98304 104448 131072 139264 196608 208896 262144 278528 393216 417792 524288 557056 786432 835584 1048576 1114112 1572864 1671168 2097152 2228224 3145728 3342336 4194304 4456448 6291456 6684672 8388608 8912896 12582912 13369344 16777216 17825792 25165824 26738688 33554432 35651584 50331648 53477376 67108864 71303168 100663296 106954752 142606336 201326592 213909504 285212672 427819008 570425344 855638016 1140850688 1711276032 3422552064