Search a number
-
+
3607430144 = 2103795213
BaseRepresentation
bin1101011100000101…
…0000010000000000
3100022102000102211212
43113001100100000
524342000231034
61353543425252
7155252436023
oct32701202000
910272012755
103607430144
11159133372a
12848155228
134564b2066
142631651ba
15161a7d2ce
hexd7050400

3607430144 has 44 divisors (see below), whose sum is σ = 7406316204. Its totient is φ = 1754947584.

The previous prime is 3607430143. The next prime is 3607430153. The reversal of 3607430144 is 4410347063.

It can be written as a sum of positive squares in 2 ways, for example, as 2032927744 + 1574502400 = 45088^2 + 39680^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3607430144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3607430143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9719 + ... + 85494.

Almost surely, 23607430144 is an apocalyptic number.

It is an amenable number.

3607430144 is an abundant number, since it is smaller than the sum of its proper divisors (3798886060).

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

3607430144 is an equidigital number, since it uses as much as digits as its factorization.

3607430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95270 (or 95252 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 3607430144 is about 60061.8859510755. The cubic root of 3607430144 is about 1533.6725456620.

The spelling of 3607430144 in words is "three billion, six hundred seven million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2368 4736 9472 18944 37888 95213 190426 380852 761704 1523408 3046816 3522881 6093632 7045762 12187264 14091524 24374528 28183048 48749056 56366096 97498112 112732192 225464384 450928768 901857536 1803715072 3607430144