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1099970304 = 28341181193
BaseRepresentation
bin100000110010000…
…0011011100000000
32211122210021120220
41001210003130000
54223043022204
6301052103040
736154410336
oct10144033400
92748707526
101099970304
115149a4a74
12268464a80
13146b70304
14a6131b56
156687c1d9
hex41903700

1099970304 has 144 divisors (see below), whose sum is σ = 3031121184. Its totient is φ = 353894400.

The previous prime is 1099970293. The next prime is 1099970309. The reversal of 1099970304 is 4030799901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1099970309) 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, 5699232 + ... + 5699424.

Almost surely, 21099970304 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 1099970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515560592).

1099970304 is an abundant number, since it is smaller than the sum of its proper divisors (1931150880).

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

1099970304 is a wasteful number, since it uses less digits than its factorization.

1099970304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 1099970304 is about 33165.8002164881. The cubic root of 1099970304 is about 1032.2708261030.

The spelling of 1099970304 in words is "one billion, ninety-nine million, nine hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 181 192 193 246 256 328 362 384 386 492 543 579 656 724 768 772 984 1086 1158 1312 1448 1544 1968 2172 2316 2624 2896 3088 3936 4344 4632 5248 5792 6176 7421 7872 7913 8688 9264 10496 11584 12352 14842 15744 15826 17376 18528 22263 23168 23739 24704 29684 31488 31652 34752 34933 37056 44526 46336 47478 49408 59368 63304 69504 69866 74112 89052 94956 104799 118736 126608 139008 139732 148224 178104 189912 209598 237472 253216 279464 356208 379824 419196 474944 506432 558928 712416 759648 838392 949888 1012864 1117856 1424832 1432253 1519296 1676784 1899776 2025728 2235712 2849664 2864506 3038592 3353568 4296759 4471424 5699328 5729012 6077184 6707136 8593518 8942848 11458024 13414272 17187036 22916048 26828544 34374072 45832096 68748144 91664192 137496288 183328384 274992576 366656768 549985152 1099970304