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4034480544 = 253214008613
BaseRepresentation
bin1111000001111001…
…0100100110100000
3101102011120211212100
43300132110212200
531230311334134
61504200530400
7201656342643
oct36036244640
911364524770
104034480544
1117903a4a46
12947180a00
134c3b04bc3
142a3b6ba5a
151892d6999
hexf07949a0

4034480544 has 36 divisors (see below), whose sum is σ = 11473054866. Its totient is φ = 1344826752.

The previous prime is 4034480533. The next prime is 4034480563. The reversal of 4034480544 is 4450844304.

4034480544 is a `hidden beast` number, since 4 + 0 + 34 + 4 + 80 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3133760400 + 900720144 = 55980^2 + 30012^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4034480499 and 4034480508.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7004019 + ... + 7004594.

Almost surely, 24034480544 is an apocalyptic number.

It is an amenable number.

4034480544 is an abundant number, since it is smaller than the sum of its proper divisors (7438574322).

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

4034480544 is a wasteful number, since it uses less digits than its factorization.

4034480544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14008629 (or 14008618 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 4034480544 is about 63517.5609103498. The cubic root of 4034480544 is about 1591.9492126252.

The spelling of 4034480544 in words is "four billion, thirty-four million, four hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14008613 28017226 42025839 56034452 84051678 112068904 126077517 168103356 224137808 252155034 336206712 448275616 504310068 672413424 1008620136 1344826848 2017240272 4034480544