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340493544 = 23351710303
BaseRepresentation
bin10100010010111…
…000010011101000
3212201200212100000
4110102320103220
51144131243134
653441543000
711303101356
oct2422702350
9781625300
10340493544
11165221926
1296044a60
1355708191
14333147d6
151ed5be99
hex144b84e8

340493544 has 96 divisors (see below), whose sum is σ = 1012677120. Its totient is φ = 106811136.

The previous prime is 340493539. The next prime is 340493551. The reversal of 340493544 is 445394043.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 340493499 and 340493508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27897 + ... + 38199.

It is an arithmetic number, because the mean of its divisors is an integer number (10548720).

Almost surely, 2340493544 is an apocalyptic number.

340493544 is a gapful number since it is divisible by the number (34) 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 340493544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506338560).

340493544 is an abundant number, since it is smaller than the sum of its proper divisors (672183576).

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

340493544 is a wasteful number, since it uses less digits than its factorization.

340493544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 340493544 is about 18452.4671521182. The cubic root of 340493544 is about 698.2907577035.

The spelling of 340493544 in words is "three hundred forty million, four hundred ninety-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 918 972 1224 1377 1836 1944 2754 3672 4131 5508 8262 10303 11016 16524 20606 30909 33048 41212 61818 82424 92727 123636 175151 185454 247272 278181 350302 370908 525453 556362 700604 741816 834543 1050906 1112724 1401208 1576359 1669086 2101812 2225448 2503629 3152718 3338172 4203624 4729077 5007258 6305436 6676344 9458154 10014516 12610872 14187231 18916308 20029032 28374462 37832616 42561693 56748924 85123386 113497848 170246772 340493544