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1434614100 = 22352101113419
BaseRepresentation
bin101010110000010…
…0111100101010100
310200222110221120120
41111200213211110
510414230122400
6354204431540
750360006253
oct12540474524
93628427516
101434614100
11676890897
123405485b0
1319b2aa9aa
14d876279a
1585e30ca0
hex55827954

1434614100 has 144 divisors (see below), whose sum is σ = 4239103680. Its totient is φ = 374528000.

The previous prime is 1434614059. The next prime is 1434614113. The reversal of 1434614100 is 14164341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3423691 + ... + 3424109.

It is an arithmetic number, because the mean of its divisors is an integer number (29438220).

Almost surely, 21434614100 is an apocalyptic number.

1434614100 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 1434614100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119551840).

1434614100 is an abundant number, since it is smaller than the sum of its proper divisors (2804489580).

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

1434614100 is a wasteful number, since it uses less digits than its factorization.

1434614100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1434614100 is about 37876.2999776905. The cubic root of 1434614100 is about 1127.8336074418.

Adding to 1434614100 its reverse (14164341), we get a palindrome (1448778441).

The spelling of 1434614100 in words is "one billion, four hundred thirty-four million, six hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 113 150 202 226 300 303 339 404 419 452 505 565 606 678 838 1010 1130 1212 1257 1356 1515 1676 1695 2020 2095 2260 2514 2525 2825 3030 3390 4190 5028 5050 5650 6060 6285 6780 7575 8380 8475 10100 10475 11300 11413 12570 15150 16950 20950 22826 25140 30300 31425 33900 34239 41900 42319 45652 47347 57065 62850 68478 84638 94694 114130 125700 126957 136956 142041 169276 171195 189388 211595 228260 236735 253914 284082 285325 342390 423190 473470 507828 568164 570650 634785 684780 710205 846380 855975 946940 1057975 1141300 1183675 1269570 1420410 1711950 2115950 2367350 2539140 2840820 3173925 3423900 3551025 4231900 4734700 4782047 6347850 7102050 9564094 12695700 14204100 14346141 19128188 23910235 28692282 47820470 57384564 71730705 95640940 119551175 143461410 239102350 286922820 358653525 478204700 717307050 1434614100