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3421114424 = 23713371071187
BaseRepresentation
bin1100101111101010…
…0001000000111000
322211102102121201122
43023322201000320
524001301130144
61323250204412
7150530664350
oct31372410070
98742377648
103421114424
1114a61479a2
127b5883708
13426a09580
14246505b60
151505287ee
hexcbea1038

3421114424 has 128 divisors (see below), whose sum is σ = 8190927360. Its totient is φ = 1303423488.

The previous prime is 3421114421. The next prime is 3421114429. The reversal of 3421114424 is 4244111243.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 3421114393 and 3421114402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421114421) 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, 2881559 + ... + 2882745.

It is an arithmetic number, because the mean of its divisors is an integer number (63991620).

Almost surely, 23421114424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095463680).

3421114424 is an abundant number, since it is smaller than the sum of its proper divisors (4769812936).

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

3421114424 is a wasteful number, since it uses less digits than its factorization.

3421114424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1353 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 3421114424 is about 58490.2934169423. The cubic root of 3421114424 is about 1506.8008852246.

Adding to 3421114424 its reverse (4244111243), we get a palindrome (7665225667).

The spelling of 3421114424 in words is "three billion, four hundred twenty-one million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 107 148 182 214 259 296 364 428 481 518 728 749 856 962 1036 1187 1391 1498 1924 2072 2374 2782 2996 3367 3848 3959 4748 5564 5992 6734 7918 8309 9496 9737 11128 13468 15431 15836 16618 19474 26936 27713 30862 31672 33236 38948 43919 51467 55426 61724 66472 77896 87838 102934 108017 110852 123448 127009 175676 205868 216034 221704 254018 307433 351352 360269 411736 432068 508036 570947 614866 720538 864136 889063 1016072 1141894 1229732 1441076 1651117 1778126 2283788 2459464 2882152 3302234 3556252 3996629 4567576 4699333 6604468 7112504 7993258 9398666 11557819 13208936 15986516 18797332 23115638 31973032 32895331 37594664 46231276 61091329 65790662 92462552 122182658 131581324 244365316 263162648 427639303 488730632 855278606 1710557212 3421114424