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3424344480 = 253257273271
BaseRepresentation
bin1100110000011011…
…0101100110100000
322211122111201112100
43030012311212200
524003113010410
61323443330400
7150600306414
oct31406654640
98748451470
103424344480
1114a7a53767
127b6980a00
1342759a84b
14246b06d44
151509658c0
hexcc1b59a0

3424344480 has 144 divisors (see below), whose sum is σ = 11705226624. Its totient is φ = 911623680.

The previous prime is 3424344479. The next prime is 3424344481. The reversal of 3424344480 is 844434243.

It is an interprime number because it is at equal distance from previous prime (3424344479) and next prime (3424344481).

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

It is a super-2 number, since 2×34243444802 = 23452270235412940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3424344481) 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, 1045245 + ... + 1048515.

It is an arithmetic number, because the mean of its divisors is an integer number (81286296).

Almost surely, 23424344480 is an apocalyptic number.

3424344480 is a gapful number since it is divisible by the number (30) 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 3424344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852613312).

3424344480 is an abundant number, since it is smaller than the sum of its proper divisors (8280882144).

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

3424344480 is a wasteful number, since it uses less digits than its factorization.

3424344480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 3424344480 is about 58517.8988002816. The cubic root of 3424344480 is about 1507.2749529983.

The spelling of 3424344480 in words is "three billion, four hundred twenty-four million, three hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 727 1440 1454 2181 2908 3271 3635 4362 5816 6542 6543 7270 8724 9813 10905 11632 13084 13086 14540 16355 17448 19626 21810 23264 26168 26172 29080 29439 32710 32715 34896 39252 43620 49065 52336 52344 58160 58878 65420 65430 69792 78504 87240 98130 104672 104688 116320 117756 130840 130860 147195 157008 174480 196260 209376 235512 261680 261720 294390 314016 348960 392520 471024 523360 523440 588780 785040 942048 1046880 1177560 1570080 2355120 2378017 4710240 4756034 7134051 9512068 11890085 14268102 19024136 21402153 23780170 28536204 35670255 38048272 42804306 47560340 57072408 71340510 76096544 85608612 95120680 107010765 114144816 142681020 171217224 190241360 214021530 228289632 285362040 342434448 380482720 428043060 570724080 684868896 856086120 1141448160 1712172240 3424344480