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1034456361 = 32961421463
BaseRepresentation
bin111101101010001…
…000110100101001
32200002111211100120
4331222020310221
54104310100421
6250351553453
734430506521
oct7552106451
92602454316
101034456361
11490a18414
1224a52b889
13136412673
149b55a681
1560c3a8c6
hex3da88d29

1034456361 has 32 divisors (see below), whose sum is σ = 1456811520. Its totient is φ = 651974400.

The previous prime is 1034456333. The next prime is 1034456377. The reversal of 1034456361 is 1636544301.

1034456361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1034456361 - 27 = 1034456233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1034456161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2234016 + ... + 2234478.

It is an arithmetic number, because the mean of its divisors is an integer number (45525360).

Almost surely, 21034456361 is an apocalyptic number.

It is an amenable number.

1034456361 is a deficient number, since it is larger than the sum of its proper divisors (422355159).

1034456361 is a wasteful number, since it uses less digits than its factorization.

1034456361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1034456361 is about 32162.9656748254. The cubic root of 1034456361 is about 1011.3560066275.

The spelling of 1034456361 in words is "one billion, thirty-four million, four hundred fifty-six thousand, three hundred sixty-one".

Divisors: 1 3 29 61 87 183 421 463 1263 1389 1769 5307 12209 13427 25681 28243 36627 40281 77043 84729 194923 584769 744749 819047 2234247 2457141 5652767 11890303 16958301 35670909 344818787 1034456361