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1034462440 = 235119532467
BaseRepresentation
bin111101101010001…
…010010011101000
32200002112010200201
4331222022103220
54104310244230
6250352041544
734430533324
oct7552122350
92602463621
101034462440
11490a21a40
1224a5332b4
1313641536b
149b55c984
1560c3c5ca
hex3da8a4e8

1034462440 has 64 divisors (see below), whose sum is σ = 2542829760. Its totient is φ = 375621120.

The previous prime is 1034462423. The next prime is 1034462479. The reversal of 1034462440 is 442644301.

1034462440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10344624402 = 2140225079541507200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1034462399 and 1034462408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418087 + ... + 420553.

It is an arithmetic number, because the mean of its divisors is an integer number (39731715).

Almost surely, 21034462440 is an apocalyptic number.

1034462440 is a gapful number since it is divisible by the number (10) 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 1034462440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271414880).

1034462440 is an abundant number, since it is smaller than the sum of its proper divisors (1508367320).

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

1034462440 is a wasteful number, since it uses less digits than its factorization.

1034462440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 1034462440 is about 32163.0601777878. The cubic root of 1034462440 is about 1011.3579877071.

The spelling of 1034462440 in words is "one billion, thirty-four million, four hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 953 1906 2467 3812 4765 4934 7624 9530 9868 10483 12335 19060 19736 20966 24670 27137 38120 41932 49340 52415 54274 83864 98680 104830 108548 135685 209660 217096 271370 419320 542740 1085480 2351051 4702102 9404204 11755255 18808408 23510510 25861561 47021020 51723122 94042040 103446244 129307805 206892488 258615610 517231220 1034462440