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340103700 = 2232521722229
BaseRepresentation
bin10100010001011…
…001001000010100
3212200222001120100
4110101121020110
51144031304300
653425334100
711266555656
oct2421311024
9780861510
10340103700
11164a85a42
1295a97330
13555cc8c1
14332526d6
151ecd1700
hex14459214

340103700 has 108 divisors (see below), whose sum is σ = 1128794940. Its totient is φ = 85355520.

The previous prime is 340103681. The next prime is 340103713. The reversal of 340103700 is 7301043.

It can be written as a sum of positive squares in 6 ways, for example, as 4334724 + 335768976 = 2082^2 + 18324^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4186 + ... + 26414.

It is an arithmetic number, because the mean of its divisors is an integer number (10451805).

Almost surely, 2340103700 is an apocalyptic number.

340103700 is a gapful number since it is divisible by the number (30) 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 340103700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564397470).

340103700 is an abundant number, since it is smaller than the sum of its proper divisors (788691240).

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

340103700 is a wasteful number, since it uses less digits than its factorization.

340103700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22266 (or 22256 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 340103700 is about 18441.9006612659. The cubic root of 340103700 is about 698.0241560538.

Adding to 340103700 its reverse (7301043), we get a palindrome (347404743).

The spelling of 340103700 in words is "three hundred forty million, one hundred three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 22229 44458 66687 88916 111145 133374 200061 222290 266748 333435 377893 400122 444580 555725 666870 755786 800244 1000305 1111450 1133679 1333740 1511572 1667175 1889465 2000610 2222900 2267358 3334350 3401037 3778930 4001220 4534716 5001525 5668395 6668700 6802074 7557860 9447325 10003050 11336790 13604148 17005185 18894650 20006100 22673580 28341975 34010370 37789300 56683950 68020740 85025925 113367900 170051850 340103700