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340113816 = 2334797773
BaseRepresentation
bin10100010001011…
…011100110011000
3212200222120110000
4110101123212120
51144032120231
653425453000
711266630320
oct2421334630
9780876400
10340113816
11164a925a9
1295aa1160
13556043a3
1433256280
151ecd46e6
hex1445b998

340113816 has 160 divisors (see below), whose sum is σ = 1101371040. Its totient is φ = 96049152.

The previous prime is 340113793. The next prime is 340113817. The reversal of 340113816 is 618311043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 340113816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340113817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439606 + ... + 440378.

It is an arithmetic number, because the mean of its divisors is an integer number (6883569).

Almost surely, 2340113816 is an apocalyptic number.

340113816 is a gapful number since it is divisible by the number (36) 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 340113816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550685520).

340113816 is an abundant number, since it is smaller than the sum of its proper divisors (761257224).

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

340113816 is a wasteful number, since it uses less digits than its factorization.

340113816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 340113816 is about 18442.1749259679. The cubic root of 340113816 is about 698.0310766316.

Adding to 340113816 its reverse (618311043), we get a palindrome (958424859).

The spelling of 340113816 in words is "three hundred forty million, one hundred thirteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 97 108 126 162 168 189 194 216 252 291 324 378 388 504 567 582 648 679 756 773 776 873 1134 1164 1358 1512 1546 1746 2037 2268 2319 2328 2619 2716 3092 3492 4074 4536 4638 5238 5411 5432 6111 6184 6957 6984 7857 8148 9276 10476 10822 12222 13914 15714 16233 16296 18333 18552 20871 20952 21644 24444 27828 31428 32466 36666 41742 43288 48699 48888 54999 55656 62613 62856 64932 73332 74981 83484 97398 109998 125226 129864 146097 146664 149962 166968 194796 219996 224943 250452 292194 299924 389592 438291 439992 449886 500904 524867 584388 599848 674829 876582 899772 1049734 1168776 1349658 1574601 1753164 1799544 2024487 2099468 2699316 3149202 3506328 4048974 4198936 4723803 5398632 6073461 6298404 8097948 9447606 12146922 12596808 14171409 16195896 18895212 24293844 28342818 37790424 42514227 48587688 56685636 85028454 113371272 170056908 340113816