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903381012 = 22342788213
BaseRepresentation
bin110101110110001…
…000000000010100
32022221212111210000
4311312020000110
53322231143022
6225350331300
731246416612
oct6566100024
92287774700
10903381012
11423a31586
12212659b30
1311520b5a1
1487d9a6b2
15544986ac
hex35d88014

903381012 has 30 divisors (see below), whose sum is σ = 2361617258. Its totient is φ = 301126896.

The previous prime is 903381007. The next prime is 903381019. The reversal of 903381012 is 210183309.

It can be written as a sum of positive squares in only one way, i.e., 707772816 + 195608196 = 26604^2 + 13986^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (903381019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1393783 + ... + 1394430.

Almost surely, 2903381012 is an apocalyptic number.

It is an amenable number.

903381012 is an abundant number, since it is smaller than the sum of its proper divisors (1458236246).

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

903381012 is a wasteful number, since it uses less digits than its factorization.

903381012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788229 (or 2788218 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 903381012 is about 30056.2973767562. The cubic root of 903381012 is about 966.6968853547.

The spelling of 903381012 in words is "nine hundred three million, three hundred eighty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2788213 5576426 8364639 11152852 16729278 25093917 33458556 50187834 75281751 100375668 150563502 225845253 301127004 451690506 903381012