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4434393640 = 235105292
BaseRepresentation
bin1000010000100111…
…10111101000101000
3102110001002112111111
410020103313220220
533040201044030
62012004240104
7214613503225
oct41023675050
912401075444
104434393640
111976110636
12a390a0034
13558915a81
14300d0c94c
151ae47e62a
hex1084f7a28

4434393640 has 24 divisors (see below), whose sum is σ = 9978333390. Its totient is φ = 1773588992.

The previous prime is 4434393599. The next prime is 4434393643. The reversal of 4434393640 is 463934344.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4359432676 + 74960964 = 66026^2 + 8658^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4434393593 and 4434393602.

It is not an unprimeable number, because it can be changed into a prime (4434393643) 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, 415896 + ... + 426424.

Almost surely, 24434393640 is an apocalyptic number.

4434393640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4434393640 is an abundant number, since it is smaller than the sum of its proper divisors (5543939750).

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

4434393640 is an frugal number, since it uses more digits than its factorization.

4434393640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21069 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 40.

The square root of 4434393640 is about 66591.2429678257. The cubic root of 4434393640 is about 1642.9010766971.

Multiplying 4434393640 by its sum of digits (40), we get a square (177375745600 = 4211602).

4434393640 divided by its sum of digits (40) gives a square (110859841 = 105292).

The spelling of 4434393640 in words is "four billion, four hundred thirty-four million, three hundred ninety-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 10529 21058 42116 52645 84232 105290 210580 421160 110859841 221719682 443439364 554299205 886878728 1108598410 2217196820 4434393640