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1434101220 = 223357933617
BaseRepresentation
bin101010101111010…
…1010010111100100
310200221111220001000
41111132222113210
510414112214340
6354145433300
750352442056
oct12536522744
93627456030
101434101220
11676570522
1234033b830
1319b15b406
14d866b8d6
1585d7dd30
hex557aa5e4

1434101220 has 96 divisors (see below), whose sum is σ = 4518259200. Its totient is φ = 377574912.

The previous prime is 1434101219. The next prime is 1434101231. The reversal of 1434101220 is 221014341.

1434101220 is a `hidden beast` number, since 1 + 434 + 10 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1434101193 and 1434101202.

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, 25852 + ... + 59468.

It is an arithmetic number, because the mean of its divisors is an integer number (47065200).

Almost surely, 21434101220 is an apocalyptic number.

1434101220 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 1434101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259129600).

1434101220 is an abundant number, since it is smaller than the sum of its proper divisors (3084157980).

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

1434101220 is a wasteful number, since it uses less digits than its factorization.

1434101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33714 (or 33706 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1434101220 is about 37869.5289117781. The cubic root of 1434101220 is about 1127.6991898201.

Adding to 1434101220 its reverse (221014341), we get a palindrome (1655115561).

The spelling of 1434101220 in words is "one billion, four hundred thirty-four million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 90 108 135 158 180 237 270 316 395 474 540 711 790 948 1185 1422 1580 2133 2370 2844 3555 4266 4740 7110 8532 10665 14220 21330 33617 42660 67234 100851 134468 168085 201702 302553 336170 403404 504255 605106 672340 907659 1008510 1210212 1512765 1815318 2017020 2655743 3025530 3630636 4538295 5311486 6051060 7967229 9076590 10622972 13278715 15934458 18153180 23901687 26557430 31868916 39836145 47803374 53114860 71705061 79672290 95606748 119508435 143410122 159344580 239016870 286820244 358525305 478033740 717050610 1434101220