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10304305434 = 233792415449
BaseRepresentation
bin10011001100010111…
…10011100100011010
3222121010100221201000
421212023303210122
5132100400233214
64422253005430
7513231102543
oct114613634432
928533327630
1010304305434
11440856a205
121bb6a83876
13c82a64b67
146da7374ca
1540496c809
hex2662f391a

10304305434 has 32 divisors (see below), whose sum is σ = 23188320000. Its totient is φ = 3391288992.

The previous prime is 10304305423. The next prime is 10304305447. The reversal of 10304305434 is 43450340301.

10304305434 is a `hidden beast` number, since 10 + 304 + 305 + 43 + 4 = 666.

10304305434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10304305398 and 10304305407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1203459 + ... + 1211990.

It is an arithmetic number, because the mean of its divisors is an integer number (724635000).

Almost surely, 210304305434 is an apocalyptic number.

10304305434 is an abundant number, since it is smaller than the sum of its proper divisors (12884014566).

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

10304305434 is a wasteful number, since it uses less digits than its factorization.

10304305434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415539 (or 2415533 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 10304305434 its reverse (43450340301), we get a palindrome (53754645735).

The spelling of 10304305434 in words is "ten billion, three hundred four million, three hundred five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 4266 2415449 4830898 7246347 14492694 21739041 43478082 65217123 130434246 190820471 381640942 572461413 1144922826 1717384239 3434768478 5152152717 10304305434