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1043401344 = 27323911369
BaseRepresentation
bin111110001100010…
…000101010000000
32200201100021120020
4332030100222000
54114102320334
6251311413440
734566523266
oct7614205200
92621307506
101043401344
11495a77967
12251524280
13138224c5b
149c808436
1561905e49
hex3e310a80

1043401344 has 64 divisors (see below), whose sum is σ = 2783376000. Its totient is φ = 346314752.

The previous prime is 1043401327. The next prime is 1043401349. The reversal of 1043401344 is 4431043401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10434013442 = 2177372729322012672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1043401349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86092 + ... + 97460.

It is an arithmetic number, because the mean of its divisors is an integer number (43490250).

Almost surely, 21043401344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1043401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391688000).

1043401344 is an abundant number, since it is smaller than the sum of its proper divisors (1739974656).

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

1043401344 is a wasteful number, since it uses less digits than its factorization.

1043401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11625 (or 11613 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1043401344 is about 32301.7235453466. The cubic root of 1043401344 is about 1014.2627222870.

Adding to 1043401344 its reverse (4431043401), we get a palindrome (5474444745).

The spelling of 1043401344 in words is "one billion, forty-three million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 384 478 717 956 1434 1912 2868 3824 5736 7648 11369 11472 15296 22738 22944 30592 34107 45476 45888 68214 90952 91776 136428 181904 272856 363808 545712 727616 1091424 1455232 2182848 2717191 4365696 5434382 8151573 10868764 16303146 21737528 32606292 43475056 65212584 86950112 130425168 173900224 260850336 347800448 521700672 1043401344