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1034381456 = 24174192753
BaseRepresentation
bin111101101001110…
…110100010010000
32200002101000121022
4331221312202100
54104300201311
6250350215012
734430045243
oct7551664220
92602330538
101034381456
11490977109
1224a4b4468
131363b7544
149b53b25a
1560c235db
hex3da76890

1034381456 has 40 divisors (see below), whose sum is σ = 2173782744. Its totient is φ = 474890240.

The previous prime is 1034381449. The next prime is 1034381477. The reversal of 1034381456 is 6541834301.

1034381456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34810000 + 999571456 = 5900^2 + 31616^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35225 + ... + 57528.

Almost surely, 21034381456 is an apocalyptic number.

1034381456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1034381456 is an abundant number, since it is smaller than the sum of its proper divisors (1139401288).

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

1034381456 is a wasteful number, since it uses less digits than its factorization.

1034381456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92819 (or 92813 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 1034381456 is about 32161.8011933411. The cubic root of 1034381456 is about 1011.3315952706.

The spelling of 1034381456 in words is "one billion, thirty-four million, three hundred eighty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 2788 5576 11152 92753 185506 371012 742024 1484048 1576801 3153602 3802873 6307204 7605746 12614408 15211492 25228816 30422984 60845968 64648841 129297682 258595364 517190728 1034381456