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303213152 = 25112333697
BaseRepresentation
bin10010000100101…
…010101001100000
3210010112211020202
4102010222221200
51110110310102
650030524332
710341161234
oct2204525140
9703484222
10303213152
11146179590
12856666a8
134aa84488
142c3ac5c4
151b945e02
hex1212aa60

303213152 has 48 divisors (see below), whose sum is σ = 654190992. Its totient is φ = 137195520.

The previous prime is 303213137. The next prime is 303213161. The reversal of 303213152 is 251312303.

303213152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80168 + ... + 83864.

It is an arithmetic number, because the mean of its divisors is an integer number (13628979).

Almost surely, 2303213152 is an apocalyptic number.

303213152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303213152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327095496).

303213152 is an abundant number, since it is smaller than the sum of its proper divisors (350977840).

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

303213152 is a wasteful number, since it uses less digits than its factorization.

303213152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 303213152 is about 17413.0167403583. The cubic root of 303213152 is about 671.8144565225.

Adding to 303213152 its reverse (251312303), we get a palindrome (554525455).

The spelling of 303213152 in words is "three hundred three million, two hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 233 352 466 932 1864 2563 3697 3728 5126 7394 7456 10252 14788 20504 29576 40667 41008 59152 81334 82016 118304 162668 325336 650672 861401 1301344 1722802 3445604 6891208 9475411 13782416 18950822 27564832 37901644 75803288 151606576 303213152