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1434803216 = 247114771349
BaseRepresentation
bin101010110000101…
…0101110000010000
310200222211112222212
41111201111300100
510414302200331
6354212451252
750361424520
oct12541256020
93628745885
101434803216
116769aa990
12340619b28
1319b345ab2
14d87b1680
1585e6bd2b
hex55855c10

1434803216 has 160 divisors (see below), whose sum is σ = 3599769600. Its totient is φ = 537868800.

The previous prime is 1434803203. The next prime is 1434803219. The reversal of 1434803216 is 6123084341.

It is not an unprimeable number, because it can be changed into a prime (1434803219) 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, 4111010 + ... + 4111358.

It is an arithmetic number, because the mean of its divisors is an integer number (22498560).

Almost surely, 21434803216 is an apocalyptic number.

1434803216 is a gapful number since it is divisible by the number (16) 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 1434803216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799884800).

1434803216 is an abundant number, since it is smaller than the sum of its proper divisors (2164966384).

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

1434803216 is a wasteful number, since it uses less digits than its factorization.

1434803216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 1434803216 is about 37878.7963905930. The cubic root of 1434803216 is about 1127.8831636276.

Adding to 1434803216 its reverse (6123084341), we get a palindrome (7557887557).

The spelling of 1434803216 in words is "one billion, four hundred thirty-four million, eight hundred three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 47 56 71 77 88 94 112 142 154 176 188 284 308 329 349 376 497 517 568 616 658 698 752 781 994 1034 1136 1232 1316 1396 1562 1988 2068 2443 2632 2792 3124 3337 3619 3839 3976 4136 4886 5264 5467 5584 6248 6674 7238 7678 7952 8272 9772 10934 12496 13348 14476 15356 16403 19544 21868 23359 24779 26696 26873 28952 30712 32806 36707 39088 43736 46718 49558 53392 53746 57904 61424 65612 73414 87472 93436 99116 107492 114821 131224 146828 173453 180433 186872 198232 214984 229642 256949 262448 272569 293656 346906 360866 373744 396464 429968 459284 513898 545138 587312 693812 721732 918568 1027796 1090276 1164613 1263031 1387624 1443464 1837136 1907983 2055592 2180552 2329226 2526062 2775248 2886928 3815966 4111184 4361104 4658452 5052124 7631932 8152291 9316904 10104248 12810743 15263864 16304582 18633808 20208496 25621486 30527728 32609164 51242972 65218328 89675201 102485944 130436656 179350402 204971888 358700804 717401608 1434803216