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1434102320 = 245717971553
BaseRepresentation
bin101010101111010…
…1010101000110000
310200221111221112202
41111132222220300
510414112233240
6354145442332
750352445220
oct12536525060
93627457482
101434102320
11676571332
123403403a8
1319b15ba71
14d866c080
1585d7e315
hex557aaa30

1434102320 has 160 divisors (see below), whose sum is σ = 4078988928. Its totient is φ = 457703424.

The previous prime is 1434102317. The next prime is 1434102359. The reversal of 1434102320 is 232014341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1434102292 and 1434102301.

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, 922664 + ... + 924216.

Almost surely, 21434102320 is an apocalyptic number.

1434102320 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 1434102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039494464).

1434102320 is an abundant number, since it is smaller than the sum of its proper divisors (2644886608).

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

1434102320 is a wasteful number, since it uses less digits than its factorization.

1434102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1434102320 is about 37869.5434353254. The cubic root of 1434102320 is about 1127.6994781467.

Adding to 1434102320 its reverse (232014341), we get a palindrome (1666116661).

The spelling of 1434102320 in words is "one billion, four hundred thirty-four million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 97 112 119 136 140 170 194 238 272 280 340 388 476 485 560 595 679 680 776 952 970 1190 1358 1360 1552 1553 1649 1904 1940 2380 2716 3106 3298 3395 3880 4760 5432 6212 6596 6790 7760 7765 8245 9520 10864 10871 11543 12424 13192 13580 15530 16490 21742 23086 24848 26384 26401 27160 31060 32980 43484 46172 52802 54320 54355 57715 62120 65960 86968 92344 105604 108710 115430 124240 131920 132005 150641 173936 184688 184807 211208 217420 230860 264010 301282 369614 422416 434840 461720 528020 602564 739228 753205 869680 923440 924035 1054487 1056040 1205128 1478456 1506410 1848070 2108974 2112080 2410256 2560897 2956912 3012820 3696140 4217948 5121794 5272435 6025640 7392280 8435896 10243588 10544870 12051280 12804485 14784560 16871792 17926279 20487176 21089740 25608970 35852558 40974352 42179480 51217940 71705116 84358960 89631395 102435880 143410232 179262790 204871760 286820464 358525580 717051160 1434102320