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1384221328 = 247172373433
BaseRepresentation
bin101001010000001…
…1000101010010000
310120110122201200121
41102200120222100
510313330040303
6345204400024
746205454460
oct12240305220
93513581617
101384221328
116503a1a76
123276a6014
13190a15899
14d1ba5ba0
15817c99bd
hex52818a90

1384221328 has 160 divisors (see below), whose sum is σ = 3440779776. Its totient is φ = 525533184.

The previous prime is 1384221287. The next prime is 1384221343. The reversal of 1384221328 is 8231224831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1384221293 and 1384221302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3196600 + ... + 3197032.

Almost surely, 21384221328 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 1384221328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720389888).

1384221328 is an abundant number, since it is smaller than the sum of its proper divisors (2056558448).

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

1384221328 is a wasteful number, since it uses less digits than its factorization.

1384221328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 555 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 1384221328 is about 37205.1250233083. The cubic root of 1384221328 is about 1114.4703331306.

The spelling of 1384221328 in words is "one billion, three hundred eighty-four million, two hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 73 92 112 119 136 146 161 184 238 272 292 322 368 391 433 476 511 584 644 782 866 952 1022 1168 1241 1288 1564 1679 1732 1904 2044 2482 2576 2737 3031 3128 3358 3464 4088 4964 5474 6062 6256 6716 6928 7361 8176 8687 9928 9959 10948 11753 12124 13432 14722 17374 19856 19918 21896 23506 24248 26864 28543 29444 31609 34748 39836 43792 47012 48496 51527 57086 58888 63218 69496 69713 79672 94024 103054 114172 117776 126436 138992 139426 159344 169303 188048 199801 206108 221263 228344 252872 278852 338606 399602 412216 442526 456688 505744 537353 557704 677212 727007 799204 824432 885052 1074706 1115408 1185121 1354424 1454014 1598408 1770104 2149412 2370242 2708848 2908028 3196816 3540208 3761471 4298824 4740484 5089049 5816056 7522942 8597648 9480968 10178098 11632112 12359119 15045884 18961936 20356196 24718238 30091768 40712392 49436476 60183536 81424784 86513833 98872952 173027666 197745904 346055332 692110664 1384221328