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10000002304 = 2861640369
BaseRepresentation
bin10010101000000101…
…11110110100000000
3221210220202202021201
421110002332310000
5130440000033204
64332142430544
7502544421445
oct112402766400
927726682251
1010000002304
114271816816
121b30b92454
13c349bb536
146ac1639cc
153d7dad9a4
hex2540bed00

10000002304 has 36 divisors (see below), whose sum is σ = 20288202340. Its totient is φ = 4918026240.

The previous prime is 10000002277. The next prime is 10000002323. The reversal of 10000002304 is 40320000001.

It can be written as a sum of positive squares in 2 ways, for example, as 326886400 + 9673115904 = 18080^2 + 98352^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 304569 + ... + 335800.

Almost surely, 210000002304 is an apocalyptic number.

It is an amenable number.

10000002304 is an abundant number, since it is smaller than the sum of its proper divisors (10288200036).

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

10000002304 is an frugal number, since it uses more digits than its factorization.

10000002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640446 (or 640432 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10000002304 its reverse (40320000001), we get a palindrome (50320002305).

It can be divided in two parts, 1000000 and 2304, that multiplied together give a square (2304000000 = 480002).

The spelling of 10000002304 in words is "ten billion, two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 3904 7808 15616 640369 1280738 2561476 5122952 10245904 20491808 39062509 40983616 78125018 81967232 156250036 163934464 312500072 625000144 1250000288 2500000576 5000001152 10000002304