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1042034304 = 2735774703
BaseRepresentation
bin111110000111000…
…010111010000000
32200121202211100010
4332013002322000
54113230044204
6251222224520
734552100613
oct7607027200
92617684303
101042034304
11495223883
12250b85140
13137b6695c
149c57017a
1561735d89
hex3e1c2e80

1042034304 has 64 divisors (see below), whose sum is σ = 2773290240. Its totient is φ = 346669056.

The previous prime is 1042034209. The next prime is 1042034327. The reversal of 1042034304 is 4034302401.

It is a tau number, because it is divible by the number of its divisors (64).

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, 219217 + ... + 223919.

It is an arithmetic number, because the mean of its divisors is an integer number (43332660).

Almost surely, 21042034304 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 1042034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386645120).

1042034304 is an abundant number, since it is smaller than the sum of its proper divisors (1731255936).

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

1042034304 is an equidigital number, since it uses as much as digits as its factorization.

1042034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1042034304 is about 32280.5561290384. The cubic root of 1042034304 is about 1013.8195742765.

Adding to 1042034304 its reverse (4034302401), we get a palindrome (5076336705).

The spelling of 1042034304 in words is "one billion, forty-two million, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 577 1154 1731 2308 3462 4616 4703 6924 9232 9406 13848 14109 18464 18812 27696 28218 36928 37624 55392 56436 73856 75248 110784 112872 150496 221568 225744 300992 451488 601984 902976 1805952 2713631 5427262 8140893 10854524 16281786 21709048 32563572 43418096 65127144 86836192 130254288 173672384 260508576 347344768 521017152 1042034304