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340012240 = 245172937233
BaseRepresentation
bin10100010001000…
…010110011010000
3212200210102002221
4110101002303100
51144020342430
653423350424
711266025221
oct2421026320
9780712087
10340012240
11164a23257
1295a52414
135559a099
143322b248
151ecb457a
hex14442cd0

340012240 has 160 divisors (see below), whose sum is σ = 893112480. Its totient is φ = 119734272.

The previous prime is 340012229. The next prime is 340012249. The reversal of 340012240 is 42210043.

It can be written as a sum of positive squares in 16 ways, for example, as 18455616 + 321556624 = 4296^2 + 17932^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340012249) 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, 1459164 + ... + 1459396.

It is an arithmetic number, because the mean of its divisors is an integer number (5581953).

Almost surely, 2340012240 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 340012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446556240).

340012240 is an abundant number, since it is smaller than the sum of its proper divisors (553100240).

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

340012240 is a wasteful number, since it uses less digits than its factorization.

340012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 340012240 is about 18439.4208151992. The cubic root of 340012240 is about 697.9615800288.

Adding to 340012240 its reverse (42210043), we get a palindrome (382222283).

The spelling of 340012240 in words is "three hundred forty million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 37 40 58 68 74 80 85 116 136 145 148 170 185 232 233 272 290 296 340 370 464 466 493 580 592 629 680 740 932 986 1073 1160 1165 1258 1360 1480 1864 1972 2146 2320 2330 2465 2516 2960 3145 3728 3944 3961 4292 4660 4930 5032 5365 6290 6757 7888 7922 8584 8621 9320 9860 10064 10730 12580 13514 15844 17168 17242 18241 18640 19720 19805 21460 25160 27028 31688 33785 34484 36482 39440 39610 42920 43105 50320 54056 63376 67570 68968 72964 79220 85840 86210 91205 108112 114869 135140 137936 145928 146557 158440 172420 182410 229738 250009 270280 291856 293114 316880 344840 364820 459476 500018 540560 574345 586228 689680 729640 732785 918952 1000036 1148690 1172456 1250045 1459280 1465570 1837904 2000072 2297380 2344912 2500090 2931140 4000144 4250153 4594760 5000180 5862280 8500306 9189520 10000360 11724560 17000612 20000720 21250765 34001224 42501530 68002448 85003060 170006120 340012240