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1289474304 = 28310316301
BaseRepresentation
bin100110011011011…
…1101000100000000
310022212101002012120
41030312331010000
510120101134204
6331541524240
743645231206
oct11466750400
93285332176
101289474304
11601969148
122bba13680
131771c1061
14c3381076
15783116d9
hex4cdbd100

1289474304 has 72 divisors (see below), whose sum is σ = 3465413952. Its totient is φ = 425625600.

The previous prime is 1289474287. The next prime is 1289474317. The reversal of 1289474304 is 4034749821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70954 + ... + 87254.

Almost surely, 21289474304 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 1289474304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732706976).

1289474304 is an abundant number, since it is smaller than the sum of its proper divisors (2175939648).

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

1289474304 is a wasteful number, since it uses less digits than its factorization.

1289474304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16423 (or 16409 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 1289474304 is about 35909.2509529230. The cubic root of 1289474304 is about 1088.4393410220.

The spelling of 1289474304 in words is "one billion, two hundred eighty-nine million, four hundred seventy-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 618 768 824 1236 1648 2472 3296 4944 6592 9888 13184 16301 19776 26368 32602 39552 48903 65204 79104 97806 130408 195612 260816 391224 521632 782448 1043264 1564896 1679003 2086528 3129792 3358006 4173056 5037009 6259584 6716012 10074018 12519168 13432024 20148036 26864048 40296072 53728096 80592144 107456192 161184288 214912384 322368576 429824768 644737152 1289474304