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1045670304 = 25371818597
BaseRepresentation
bin111110010100111…
…010100110100000
32200212121112222210
4332110322212200
54120142422204
6251432202120
734625023320
oct7624724640
92625545883
101045670304
11497287638
12252239340
1313883a933
149cc39280
1561c03389
hex3e53a9a0

1045670304 has 96 divisors (see below), whose sum is σ = 3154709376. Its totient is φ = 297077760.

The previous prime is 1045670303. The next prime is 1045670341. The reversal of 1045670304 is 4030765401.

1045670304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1045670303) 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, 117334 + ... + 125930.

It is an arithmetic number, because the mean of its divisors is an integer number (32861556).

Almost surely, 21045670304 is an apocalyptic number.

1045670304 is a gapful number since it is divisible by the number (14) 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 1045670304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577354688).

1045670304 is an abundant number, since it is smaller than the sum of its proper divisors (2109039072).

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

1045670304 is a wasteful number, since it uses less digits than its factorization.

1045670304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8798 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1045670304 is about 32336.8258182525. The cubic root of 1045670304 is about 1014.9973885896.

The spelling of 1045670304 in words is "one billion, forty-five million, six hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 181 224 336 362 543 672 724 1086 1267 1448 2172 2534 2896 3801 4344 5068 5792 7602 8597 8688 10136 15204 17194 17376 20272 25791 30408 34388 40544 51582 60179 60816 68776 103164 120358 121632 137552 180537 206328 240716 275104 361074 412656 481432 722148 825312 962864 1444296 1556057 1925728 2888592 3112114 4668171 5777184 6224228 9336342 10892399 12448456 18672684 21784798 24896912 32677197 37345368 43569596 49793824 65354394 74690736 87139192 130708788 149381472 174278384 261417576 348556768 522835152 1045670304