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1384336464 = 2437413172
BaseRepresentation
bin101001010000011…
…0100110001010000
310120110212120121220
41102200310301100
510313342231324
6345211045040
746206444240
oct12240646120
93513776556
101384336464
11650470525
12327740780
13190a56104
14d1bd5b20
15817edb79
hex52834c50

1384336464 has 120 divisors (see below), whose sum is σ = 4200022848. Its totient is φ = 384660480.

The previous prime is 1384336427. The next prime is 1384336493. The reversal of 1384336464 is 4646334831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4366834 + ... + 4367150.

Almost surely, 21384336464 is an apocalyptic number.

1384336464 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 1384336464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100011424).

1384336464 is an abundant number, since it is smaller than the sum of its proper divisors (2815686384).

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

1384336464 is an equidigital number, since it uses as much as digits as its factorization.

1384336464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 370 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 1384336464 is about 37206.6723048434. The cubic root of 1384336464 is about 1114.5012318740.

The spelling of 1384336464 in words is "one billion, three hundred eighty-four million, three hundred thirty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 317 328 336 492 574 634 656 861 951 984 1148 1268 1722 1902 1968 2219 2296 2536 3444 3804 4438 4592 5072 6657 6888 7608 8876 12997 13314 13776 15216 17752 25994 26628 35504 38991 51988 53256 77982 90979 100489 103976 106512 155964 181958 200978 207952 272937 301467 311928 363916 401956 545874 602934 623856 703423 727832 803912 1091748 1205868 1406846 1455664 1607824 2110269 2183496 2411736 2813692 4120049 4220538 4366992 4823472 5627384 8240098 8441076 11254768 12360147 16480196 16882152 24720294 28840343 32960392 33764304 49440588 57680686 65920784 86521029 98881176 115361372 173042058 197762352 230722744 346084116 461445488 692168232 1384336464