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1034463312 = 2434798197
BaseRepresentation
bin111101101010001…
…010100001010000
32200002112011220000
4331222022201100
54104310311222
6250352050000
734430536011
oct7552124120
92602464800
101034463312
11490a22663
1224a533900
1313641588c
149b55d008
1560c3c9ac
hex3da8a850

1034463312 has 50 divisors (see below), whose sum is σ = 2994040698. Its totient is φ = 344820672.

The previous prime is 1034463281. The next prime is 1034463337. The reversal of 1034463312 is 2133644301.

1034463312 is a `hidden beast` number, since 1 + 0 + 344 + 6 + 3 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 545876496 + 488586816 = 23364^2 + 22104^2 .

It is a super-2 number, since 2×10344633122 = 2140228687748018688, which contains 22 as substring.

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

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 397803 + ... + 400394.

Almost surely, 21034463312 is an apocalyptic number.

1034463312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1034463312 is an abundant number, since it is smaller than the sum of its proper divisors (1959577386).

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

1034463312 is an equidigital number, since it uses as much as digits as its factorization.

1034463312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798217 (or 798202 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1034463312 is about 32163.0737337090. The cubic root of 1034463312 is about 1011.3582718817.

The spelling of 1034463312 in words is "one billion, thirty-four million, four hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 798197 1596394 2394591 3192788 4789182 6385576 7183773 9578364 12771152 14367546 19156728 21551319 28735092 38313456 43102638 57470184 64653957 86205276 114940368 129307914 172410552 258615828 344821104 517231656 1034463312