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1464203440 = 24575349333
BaseRepresentation
bin101011101000101…
…1111100010110000
310210001011020112001
41113101133202300
510444314002230
6401142543344
751166344460
oct12721374260
93701136461
101464203440
11691560797
1234a437b54
131a446aa8b
14dc665ba0
15888280ca
hex5745f8b0

1464203440 has 80 divisors (see below), whose sum is σ = 3964085568. Its totient is φ = 492530688.

The previous prime is 1464203423. The next prime is 1464203467. The reversal of 1464203440 is 443024641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1464203399 and 1464203408.

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, 5014 + ... + 54346.

Almost surely, 21464203440 is an apocalyptic number.

1464203440 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 1464203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982042784).

1464203440 is an abundant number, since it is smaller than the sum of its proper divisors (2499882128).

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

1464203440 is a wasteful number, since it uses less digits than its factorization.

1464203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49406 (or 49400 counting only the distinct ones).

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

The square root of 1464203440 is about 38264.9113418547. The cubic root of 1464203440 is about 1135.5348679338.

The spelling of 1464203440 in words is "one billion, four hundred sixty-four million, two hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 530 560 742 848 1060 1484 1855 2120 2968 3710 4240 5936 7420 14840 29680 49333 98666 197332 246665 345331 394664 493330 690662 789328 986660 1381324 1726655 1973320 2614649 2762648 3453310 3946640 5229298 5525296 6906620 10458596 13073245 13813240 18302543 20917192 26146490 27626480 36605086 41834384 52292980 73210172 91512715 104585960 146420344 183025430 209171920 292840688 366050860 732101720 1464203440