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3414135240 = 233259483709
BaseRepresentation
bin1100101101111111…
…1001000111001000
322210221022001002100
43023133321013020
523443004311430
61322440433400
7150414446025
oct31337710710
98727261070
103414135240
1114a221037a
127b3478860
13425434989
1424560a54c
1514eaea960
hexcb7f91c8

3414135240 has 48 divisors (see below), whose sum is σ = 11095940700. Its totient is φ = 910435968.

The previous prime is 3414135233. The next prime is 3414135247. The reversal of 3414135240 is 425314143.

It is a happy number.

3414135240 is a `hidden beast` number, since 3 + 4 + 1 + 413 + 5 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (3414135233) and next prime (3414135247).

It can be written as a sum of positive squares in 2 ways, for example, as 3336448644 + 77686596 = 57762^2 + 8814^2 .

It is not an unprimeable number, because it can be changed into a prime (3414135247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4741495 + ... + 4742214.

Almost surely, 23414135240 is an apocalyptic number.

3414135240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414135240 is an abundant number, since it is smaller than the sum of its proper divisors (7681805460).

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

3414135240 is a wasteful number, since it uses less digits than its factorization.

3414135240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9483726 (or 9483719 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3414135240 is about 58430.6019137233. The cubic root of 3414135240 is about 1505.7755468311.

Adding to 3414135240 its reverse (425314143), we get a palindrome (3839449383).

The spelling of 3414135240 in words is "three billion, four hundred fourteen million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9483709 18967418 28451127 37934836 47418545 56902254 75869672 85353381 94837090 113804508 142255635 170706762 189674180 227609016 284511270 341413524 379348360 426766905 569022540 682827048 853533810 1138045080 1707067620 3414135240