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1044343664 = 247213195393
BaseRepresentation
bin111110001111110…
…110101101110000
32200210010011011222
4332033312231300
54114322444124
6251343524212
734610526500
oct7617665560
92623104158
101044343664
11496560941
122518b9668
13138494b40
149c9b1a00
1561a4025e
hex3e3f6b70

1044343664 has 120 divisors (see below), whose sum is σ = 2668735440. Its totient is φ = 391329792.

The previous prime is 1044343661. The next prime is 1044343667. The reversal of 1044343664 is 4663434401.

It is an interprime number because it is at equal distance from previous prime (1044343661) and next prime (1044343667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044343661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190952 + ... + 196344.

It is an arithmetic number, because the mean of its divisors is an integer number (22239462).

Almost surely, 21044343664 is an apocalyptic number.

1044343664 is a gapful number since it is divisible by the number (14) 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 1044343664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334367720).

1044343664 is an abundant number, since it is smaller than the sum of its proper divisors (1624391776).

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

1044343664 is a wasteful number, since it uses less digits than its factorization.

1044343664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 1044343664 is about 32316.3064721202. The cubic root of 1044343664 is about 1014.5679651594.

The spelling of 1044343664 in words is "one billion, forty-four million, three hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 49 52 56 76 91 98 104 112 133 152 182 196 208 247 266 304 364 392 494 532 637 728 784 931 988 1064 1274 1456 1729 1862 1976 2128 2548 3458 3724 3952 5096 5393 6916 7448 10192 10786 12103 13832 14896 21572 24206 27664 37751 43144 48412 70109 75502 86288 96824 102467 140218 151004 193648 204934 264257 280436 302008 409868 490763 528514 560872 604016 717269 819736 981526 1057028 1121744 1332071 1434538 1639472 1963052 2114056 2664142 2869076 3435341 3926104 4228112 5020883 5328284 5738152 6870682 7852208 9324497 10041766 10656568 11476304 13741364 18648994 20083532 21313136 27482728 37297988 40167064 54965456 65271479 74595976 80334128 130542958 149191952 261085916 522171832 1044343664