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340042410 = 232531307397
BaseRepresentation
bin10100010001001…
…010001010101010
3212200211221111100
4110101022022222
51144022324120
653424142230
711266212201
oct2421121252
9780757440
10340042410
11164a43994
1295a67976
13555aaa36
1433238238
151ecbd490
hex1444a2aa

340042410 has 96 divisors (see below), whose sum is σ = 917908992. Its totient is φ = 87246720.

The previous prime is 340042403. The next prime is 340042421. The reversal of 340042410 is 14240043.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856332 + ... + 856728.

It is an arithmetic number, because the mean of its divisors is an integer number (9561552).

Almost surely, 2340042410 is an apocalyptic number.

340042410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340042410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458954496).

340042410 is an abundant number, since it is smaller than the sum of its proper divisors (577866582).

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

340042410 is a wasteful number, since it uses less digits than its factorization.

340042410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 340042410 is about 18440.2388813160. The cubic root of 340042410 is about 697.9822232838.

Adding to 340042410 its reverse (14240043), we get a palindrome (354282453).

The spelling of 340042410 in words is "three hundred forty million, forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 307 310 397 465 558 614 794 921 930 1191 1395 1535 1842 1985 2382 2763 2790 3070 3573 3970 4605 5526 5955 7146 9210 9517 11910 12307 13815 17865 19034 24614 27630 28551 35730 36921 47585 57102 61535 73842 85653 95170 110763 121879 123070 142755 171306 184605 221526 243758 285510 365637 369210 428265 553815 609395 731274 856530 1096911 1107630 1218790 1828185 2193822 3656370 3778249 5484555 7556498 10969110 11334747 18891245 22669494 34004241 37782490 56673735 68008482 113347470 170021205 340042410