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1303672968 = 233413435961
BaseRepresentation
bin100110110110100…
…0111100010001000
310100212002110010000
41031231013202020
510132220013333
6333210123000
744210015553
oct11555074210
93325073100
101303672968
11609986884
12304720460
1317a122a30
14c51d969a
15796b8713
hex4db47888

1303672968 has 320 divisors, whose sum is σ = 4159108800. Its totient is φ = 378846720.

The previous prime is 1303672943. The next prime is 1303672969. The reversal of 1303672968 is 8692763031.

It is not an unprimeable number, because it can be changed into a prime (1303672969) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21371658 + ... + 21371718.

It is an arithmetic number, because the mean of its divisors is an integer number (12997215).

Almost surely, 21303672968 is an apocalyptic number.

1303672968 is a gapful number since it is divisible by the number (18) 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 1303672968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079554400).

1303672968 is an abundant number, since it is smaller than the sum of its proper divisors (2855435832).

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

1303672968 is a wasteful number, since it uses less digits than its factorization.

1303672968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1303672968 is about 36106.4117297745. The cubic root of 1303672968 is about 1092.4197758189.

The spelling of 1303672968 in words is "one billion, three hundred three million, six hundred seventy-two thousand, nine hundred sixty-eight".