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3414281616 = 243223710289
BaseRepresentation
bin1100101110000001…
…1100110110010000
322210221120110212200
43023200130312100
523443024002431
61322443523200
7150415625544
oct31340346620
98727513780
103414281616
1114a2300349
127b3529500
134254864a5
14245647a24
1514eb28ee6
hexcb81cd90

3414281616 has 30 divisors (see below), whose sum is σ = 9555246870. Its totient is φ = 1138093824.

The previous prime is 3414281599. The next prime is 3414281617. The reversal of 3414281616 is 6161824143.

3414281616 is a `hidden beast` number, since 3 + 4 + 14 + 28 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1883907216 + 1530374400 = 43404^2 + 39120^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3414281617) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11855001 + ... + 11855288.

It is an arithmetic number, because the mean of its divisors is an integer number (318508229).

Almost surely, 23414281616 is an apocalyptic number.

3414281616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3414281616 is an abundant number, since it is smaller than the sum of its proper divisors (6140965254).

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

3414281616 is a wasteful number, since it uses less digits than its factorization.

3414281616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23710303 (or 23710294 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3414281616 is about 58431.8544631265. The cubic root of 3414281616 is about 1505.7970658236.

The spelling of 3414281616 in words is "three billion, four hundred fourteen million, two hundred eighty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 23710289 47420578 71130867 94841156 142261734 189682312 213392601 284523468 379364624 426785202 569046936 853570404 1138093872 1707140808 3414281616