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3414330144 = 25341317257
BaseRepresentation
bin1100101110000010…
…1000101100100000
322210221122221110000
43023200220230200
523443032031034
61322444540000
7150416220201
oct31340505440
98727587400
103414330144
1114a2333855
127b3551600
134254a25c4
1424565b5a8
1514eb38599
hexcb828b20

3414330144 has 60 divisors (see below), whose sum is σ = 10041457734. Its totient is φ = 1138109184.

The previous prime is 3414330079. The next prime is 3414330163. The reversal of 3414330144 is 4410334143.

It can be written as a sum of positive squares in only one way, i.e., 2073891600 + 1340438544 = 45540^2 + 36612^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 656037 + ... + 661220.

Almost surely, 23414330144 is an apocalyptic number.

It is an amenable number.

3414330144 is an abundant number, since it is smaller than the sum of its proper divisors (6627127590).

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

3414330144 is a wasteful number, since it uses less digits than its factorization.

3414330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317279 (or 1317262 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3414330144 is about 58432.2697146021. The cubic root of 3414330144 is about 1505.8041998742.

Adding to 3414330144 its reverse (4410334143), we get a palindrome (7824664287).

The spelling of 3414330144 in words is "three billion, four hundred fourteen million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 1317257 2634514 3951771 5269028 7903542 10538056 11855313 15807084 21076112 23710626 31614168 35565939 42152224 47421252 63228336 71131878 94842504 106697817 126456672 142263756 189685008 213395634 284527512 379370016 426791268 569055024 853582536 1138110048 1707165072 3414330144