Search a number
-
+
303172040 = 23541401461
BaseRepresentation
bin10010000100100…
…000100111001000
3210010110201212002
4102010200213020
51110103001130
650030010132
710340630333
oct2204404710
9703421762
10303172040
11146150706
1285646948
134aa6b852
142c39b61a
151b938b45
hex121209c8

303172040 has 64 divisors (see below), whose sum is σ = 702036720. Its totient is φ = 117760000.

The previous prime is 303172027. The next prime is 303172049. The reversal of 303172040 is 40271303.

It can be written as a sum of positive squares in 8 ways, for example, as 120868036 + 182304004 = 10994^2 + 13502^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (303172049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657410 + ... + 657870.

Almost surely, 2303172040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303172040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351018360).

303172040 is an abundant number, since it is smaller than the sum of its proper divisors (398864680).

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

303172040 is a wasteful number, since it uses less digits than its factorization.

303172040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 303172040 is about 17411.8362041457. The cubic root of 303172040 is about 671.7840918718.

The spelling of 303172040 in words is "three hundred three million, one hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 401 410 461 802 820 922 1604 1640 1844 2005 2305 3208 3688 4010 4610 8020 9220 16040 16441 18440 18901 32882 37802 65764 75604 82205 94505 131528 151208 164410 184861 189010 328820 369722 378020 657640 739444 756040 924305 1478888 1848610 3697220 7394440 7579301 15158602 30317204 37896505 60634408 75793010 151586020 303172040