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1012323456 = 27324121433
BaseRepresentation
bin111100010101101…
…101010010000000
32121112212100201100
4330111231102000
54033123322311
6244241334400
734041415224
oct7425552200
92545770640
101012323456
1147a480661
12243037400
13131963481
1498638784
155dd17a56
hex3c56d480

1012323456 has 96 divisors (see below), whose sum is σ = 2984255820. Its totient is φ = 329195520.

The previous prime is 1012323443. The next prime is 1012323461. The reversal of 1012323456 is 6543232101.

1012323456 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 749883456 + 262440000 = 27384^2 + 16200^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 36516 + ... + 57948.

Almost surely, 21012323456 is an apocalyptic number.

1012323456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012323456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492127910).

1012323456 is an abundant number, since it is smaller than the sum of its proper divisors (1971932364).

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

1012323456 is a wasteful number, since it uses less digits than its factorization.

1012323456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21494 (or 21479 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1012323456 is about 31817.0309111331. The cubic root of 1012323456 is about 1004.0910590786.

Adding to 1012323456 its reverse (6543232101), we get a palindrome (7555555557).

The spelling of 1012323456 in words is "one billion, twelve million, three hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 288 328 369 384 492 576 656 738 984 1152 1312 1476 1968 2624 2952 3936 5248 5904 7872 11808 15744 21433 23616 42866 47232 64299 85732 128598 171464 192897 257196 342928 385794 514392 685856 771588 878753 1028784 1371712 1543176 1757506 2057568 2636259 2743424 3086352 3515012 4115136 5272518 6172704 7030024 7908777 8230272 10545036 12345408 14060048 15817554 21090072 24690816 28120096 31635108 42180144 56240192 63270216 84360288 112480384 126540432 168720576 253080864 337441152 506161728 1012323456