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2744323464 = 2331753179709
BaseRepresentation
bin1010001110010011…
…0000110110001000
321002020221002001210
42203210300312020
521110021322324
61132152213120
7125002236021
oct24344606610
97066832053
102744323464
11118910a923
1264709a1a0
1334973514c
141c068dc48
15110ddcd29
hexa3930d88

2744323464 has 128 divisors (see below), whose sum is σ = 7453296000. Its totient is φ = 838815744.

The previous prime is 2744323457. The next prime is 2744323469. The reversal of 2744323464 is 4643234472.

It is a super-2 number, since 2×27443234642 = 15062622550121918592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2744323469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870342 + ... + 3871050.

It is an arithmetic number, because the mean of its divisors is an integer number (58228875).

Almost surely, 22744323464 is an apocalyptic number.

2744323464 is a gapful number since it is divisible by the number (24) 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 2744323464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726648000).

2744323464 is an abundant number, since it is smaller than the sum of its proper divisors (4708972536).

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

2744323464 is a wasteful number, since it uses less digits than its factorization.

2744323464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 963 counting only the distinct ones).

The product of its digits is 387072, while the sum is 39.

The square root of 2744323464 is about 52386.2908020791. The cubic root of 2744323464 is about 1400.0550087229.

The spelling of 2744323464 in words is "two billion, seven hundred forty-four million, three hundred twenty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 179 204 212 318 358 408 424 537 636 709 716 901 1074 1272 1418 1432 1802 2127 2148 2703 2836 3043 3604 4254 4296 5406 5672 6086 7208 8508 9129 9487 10812 12053 12172 17016 18258 18974 21624 24106 24344 28461 36159 36516 37577 37948 48212 56922 72318 73032 75154 75896 96424 112731 113844 126911 144636 150308 161279 225462 227688 253822 289272 300616 322558 380733 450924 483837 507644 638809 645116 761466 901848 967674 1015288 1277618 1290232 1522932 1916427 1935348 2157487 2555236 3045864 3832854 3870696 4314974 5110472 6472461 6726283 7665708 8629948 12944922 13452566 15331416 17259896 20178849 25889844 26905132 40357698 51779688 53810264 80715396 114346811 161430792 228693622 343040433 457387244 686080866 914774488 1372161732 2744323464