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3414244000 = 25531038287
BaseRepresentation
bin1100101110000001…
…0011101010100000
322210221111120021111
43023200103222200
523443021302000
61322443033104
7150415411066
oct31340235240
98727446244
103414244000
1114a2285062
127b350b794
1342547232b
14245638036
1514eb1ccba
hexcb813aa0

3414244000 has 96 divisors (see below), whose sum is σ = 8471264256. Its totient is φ = 1352275200.

The previous prime is 3414243991. The next prime is 3414244013. The reversal of 3414244000 is 4424143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407857 + ... + 416143.

It is an arithmetic number, because the mean of its divisors is an integer number (88242336).

Almost surely, 23414244000 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 3414244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235632128).

3414244000 is an abundant number, since it is smaller than the sum of its proper divisors (5057020256).

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

3414244000 is a wasteful number, since it uses less digits than its factorization.

3414244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8415 (or 8397 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3414244000 is about 58431.5325830155. The cubic root of 3414244000 is about 1505.7915358882.

Adding to 3414244000 its reverse (4424143), we get a palindrome (3418668143).

The spelling of 3414244000 in words is "three billion, four hundred fourteen million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 103 125 160 200 206 250 400 412 500 515 800 824 1000 1030 1648 2000 2060 2575 3296 4000 4120 5150 8240 8287 10300 12875 16480 16574 20600 25750 33148 41200 41435 51500 66296 82400 82870 103000 132592 165740 206000 207175 265184 331480 412000 414350 662960 828700 853561 1035875 1325920 1657400 1707122 2071750 3314800 3414244 4143500 4267805 6629600 6828488 8287000 8535610 13656976 16574000 17071220 21339025 27313952 33148000 34142440 42678050 68284880 85356100 106695125 136569760 170712200 213390250 341424400 426780500 682848800 853561000 1707122000 3414244000