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1028914320 = 243574314243
BaseRepresentation
bin111101010100111…
…111110010010000
32122201002021002210
4331110333302100
54101400224240
6250033112120
734332425130
oct7524776220
92581067083
101028914320
11488882615
122486b8640
13135221c55
149a916ac0
15604e3780
hex3d53fc90

1028914320 has 160 divisors (see below), whose sum is σ = 3730332672. Its totient is φ = 229694976.

The previous prime is 1028914319. The next prime is 1028914333. The reversal of 1028914320 is 234198201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65119 + ... + 79361.

Almost surely, 21028914320 is an apocalyptic number.

1028914320 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 1028914320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865166336).

1028914320 is an abundant number, since it is smaller than the sum of its proper divisors (2701418352).

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

1028914320 is a wasteful number, since it uses less digits than its factorization.

1028914320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14309 (or 14303 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1028914320 is about 32076.6943434014. The cubic root of 1028914320 is about 1009.5466775886.

The spelling of 1028914320 in words is "one billion, twenty-eight million, nine hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 80 84 86 105 112 120 129 140 168 172 210 215 240 258 280 301 336 344 420 430 516 560 602 645 688 840 860 903 1032 1204 1290 1505 1680 1720 1806 2064 2408 2580 3010 3440 3612 4515 4816 5160 6020 7224 9030 10320 12040 14243 14448 18060 24080 28486 36120 42729 56972 71215 72240 85458 99701 113944 142430 170916 199402 213645 227888 284860 299103 341832 398804 427290 498505 569720 598206 612449 683664 797608 854580 997010 1139440 1196412 1224898 1495515 1595216 1709160 1837347 1994020 2392824 2449796 2991030 3062245 3418320 3674694 3988040 4287143 4785648 4899592 5982060 6124490 7349388 7976080 8574286 9186735 9799184 11964120 12248980 12861429 14698776 17148572 18373470 21435715 23928240 24497960 25722858 29397552 34297144 36746940 42871430 48995920 51445716 64307145 68594288 73493880 85742860 102891432 128614290 146987760 171485720 205782864 257228580 342971440 514457160 1028914320