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1388703312 = 243319891901
BaseRepresentation
bin101001011000101…
…1110111001010000
310120210002102211000
41102301132321100
510321002001222
6345444422000
746261532463
oct12261367120
93523072730
101388703312
11652983397
123290a7900
13191924949
14d26112da
1581db29ac
hex52c5ee50

1388703312 has 160 divisors (see below), whose sum is σ = 4245264000. Its totient is φ = 433382400.

The previous prime is 1388703307. The next prime is 1388703319. The reversal of 1388703312 is 2133078831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388703319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729562 + ... + 731462.

It is an arithmetic number, because the mean of its divisors is an integer number (26532900).

Almost surely, 21388703312 is an apocalyptic number.

1388703312 is a gapful number since it is divisible by the number (12) 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 1388703312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122632000).

1388703312 is an abundant number, since it is smaller than the sum of its proper divisors (2856560688).

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

1388703312 is a wasteful number, since it uses less digits than its factorization.

1388703312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1388703312 is about 37265.3097665912. The cubic root of 1388703312 is about 1115.6718887432.

The spelling of 1388703312 in words is "one billion, three hundred eighty-eight million, seven hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 89 108 114 144 152 171 178 216 228 267 304 342 356 432 456 513 534 684 712 801 912 1026 1068 1368 1424 1602 1691 1901 2052 2136 2403 2736 3204 3382 3802 4104 4272 4806 5073 5703 6408 6764 7604 8208 9612 10146 11406 12816 13528 15208 15219 17109 19224 20292 22812 27056 30416 30438 34218 36119 38448 40584 45624 45657 51327 60876 68436 72238 81168 91248 91314 102654 108357 121752 136872 144476 169189 182628 205308 216714 243504 273744 288952 325071 338378 365256 410616 433428 507567 577904 650142 676756 730512 821232 866856 975213 1015134 1300284 1353512 1522701 1733712 1950426 2030268 2600568 2707024 3045402 3214591 3900852 4060536 4568103 5201136 6090804 6429182 7801704 8121072 9136206 9643773 12181608 12858364 15603408 18272412 19287546 24363216 25716728 28931319 36544824 38575092 51433456 57862638 73089648 77150184 86793957 115725276 154300368 173587914 231450552 347175828 462901104 694351656 1388703312