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3454361352 = 23321322312343
BaseRepresentation
bin1100110111100101…
…0101111100001000
322220201222201221100
43031321111330020
524033304030402
61330434541400
7151413405231
oct31571257410
98821881840
103454361352
1115129958a2
12804a37860
1343087a400
1424aabc088
151533e471c
hexcde55f08

3454361352 has 144 divisors (see below), whose sum is σ = 10571895360. Its totient is φ = 1016585856.

The previous prime is 3454361333. The next prime is 3454361353. The reversal of 3454361352 is 2531634543.

3454361352 is a `hidden beast` number, since 3 + 4 + 543 + 61 + 3 + 52 = 666.

It is a super-2 number, since 2×34543613522 = 23865224700382535808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3454361353) by changing a digit.

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, 273693 + ... + 286035.

It is an arithmetic number, because the mean of its divisors is an integer number (73415940).

Almost surely, 23454361352 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 3454361352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285947680).

3454361352 is an abundant number, since it is smaller than the sum of its proper divisors (7117534008).

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

3454361352 is a wasteful number, since it uses less digits than its factorization.

3454361352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12404 (or 12384 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 3454361352 is about 58773.8151900997. The cubic root of 3454361352 is about 1511.6662675710. Note that the first 3 decimals are identical.

Adding to 3454361352 its reverse (2531634543), we get a palindrome (5985995895).

The spelling of 3454361352 in words is "three billion, four hundred fifty-four million, three hundred sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 169 184 207 234 276 299 312 338 414 468 507 552 598 676 828 897 936 1014 1196 1352 1521 1656 1794 2028 2392 2691 3042 3588 3887 4056 5382 6084 7176 7774 10764 11661 12168 12343 15548 21528 23322 24686 31096 34983 37029 46644 49372 69966 74058 93288 98744 111087 139932 148116 160459 222174 279864 283889 296232 320918 444348 481377 567778 641836 851667 888696 962754 1135556 1283672 1444131 1703334 1925508 2085967 2271112 2555001 2888262 3406668 3690557 3851016 4171934 5110002 5776524 6257901 6813336 7381114 8343868 10220004 11071671 11553048 12515802 14762228 16687736 18773703 20440008 22143342 25031604 29524456 33215013 37547406 44286684 47977241 50063208 66430026 75094812 88573368 95954482 132860052 143931723 150189624 191908964 265720104 287863446 383817928 431795169 575726892 863590338 1151453784 1727180676 3454361352