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1434224120 = 235721922027
BaseRepresentation
bin101010101111100…
…1000010111111000
310200221202010121212
41111133020113320
510414130132440
6354152222252
750353463300
oct12537102770
93627663555
101434224120
1167664489a
1234039a988
1319b1a2334
14d86a0600
1585da5465
hex557c85f8

1434224120 has 144 divisors (see below), whose sum is σ = 3963786840. Its totient is φ = 465623424.

The previous prime is 1434224119. The next prime is 1434224153. The reversal of 1434224120 is 214224341.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 706547 + ... + 708573.

Almost surely, 21434224120 is an apocalyptic number.

1434224120 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 1434224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981893420).

1434224120 is an abundant number, since it is smaller than the sum of its proper divisors (2529562720).

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

1434224120 is a wasteful number, since it uses less digits than its factorization.

1434224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1434224120 is about 37871.1515536562. The cubic root of 1434224120 is about 1127.7314028581.

Adding to 1434224120 its reverse (214224341), we get a palindrome (1648448461).

The spelling of 1434224120 in words is "one billion, four hundred thirty-four million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 361 380 392 490 532 665 722 760 931 980 1064 1330 1444 1805 1862 1960 2027 2527 2660 2888 3610 3724 4054 4655 5054 5320 7220 7448 8108 9310 10108 10135 12635 14189 14440 16216 17689 18620 20216 20270 25270 28378 35378 37240 38513 40540 50540 56756 70756 70945 77026 81080 88445 99323 101080 113512 141512 141890 154052 176890 192565 198646 269591 283780 308104 353780 385130 397292 496615 539182 567560 707560 731747 770260 794584 993230 1078364 1347955 1463494 1540520 1887137 1986460 2156728 2695910 2926988 3658735 3774274 3972920 5122229 5391820 5853976 7317470 7548548 9435685 10244458 10783640 14634940 15097096 18871370 20488916 25611145 29269880 35855603 37742740 40977832 51222290 71711206 75485480 102444580 143422412 179278015 204889160 286844824 358556030 717112060 1434224120