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102340440 = 233252711049
BaseRepresentation
bin1100001100110…
…01011101011000
321010120102200200
412012121131120
5202144343230
614053302200
72351610426
oct606313530
9233512620
10102340440
115284a984
122a334960
1318282b97
14d840116
158eb8160
hex6199758

102340440 has 96 divisors (see below), whose sum is σ = 334152000. Its totient is φ = 27164160.

The previous prime is 102340421. The next prime is 102340457. The reversal of 102340440 is 44043201.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97036 + ... + 98084.

It is an arithmetic number, because the mean of its divisors is an integer number (3480750).

Almost surely, 2102340440 is an apocalyptic number.

102340440 is a gapful number since it is divisible by the number (10) 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 102340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000).

102340440 is an abundant number, since it is smaller than the sum of its proper divisors (231811560).

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

102340440 is a wasteful number, since it uses less digits than its factorization.

102340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1330 counting only the distinct ones).

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

The square root of 102340440 is about 10116.3451898401. The cubic root of 102340440 is about 467.7521150555.

Adding to 102340440 its reverse (44043201), we get a palindrome (146383641).

The spelling of 102340440 in words is "one hundred two million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 271 360 542 813 1049 1084 1355 1626 2098 2168 2439 2710 3147 3252 4065 4196 4878 5245 5420 6294 6504 8130 8392 9441 9756 10490 10840 12195 12588 15735 16260 18882 19512 20980 24390 25176 31470 32520 37764 41960 47205 48780 62940 75528 94410 97560 125880 188820 284279 377640 568558 852837 1137116 1421395 1705674 2274232 2558511 2842790 3411348 4264185 5117022 5685580 6822696 8528370 10234044 11371160 12792555 17056740 20468088 25585110 34113480 51170220 102340440