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103412340 = 223251992887
BaseRepresentation
bin1100010100111…
…11001001110100
321012120220001200
412022133021310
5202433143330
614132252500
72363663463
oct612371164
9235526050
10103412340
1153412249
122a771130
1318569a45
14da3c9da
15912aa60
hex629f274

103412340 has 72 divisors (see below), whose sum is σ = 315369600. Its totient is φ = 27428544.

The previous prime is 103412329. The next prime is 103412341. The reversal of 103412340 is 43214301.

It is a super-2 number, since 2×1034123402 = 21388224128551200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103412341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34377 + ... + 37263.

Almost surely, 2103412340 is an apocalyptic number.

103412340 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 103412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157684800).

103412340 is an abundant number, since it is smaller than the sum of its proper divisors (211957260).

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

103412340 is a wasteful number, since it uses less digits than its factorization.

103412340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103412340 is about 10169.1858081166. The cubic root of 103412340 is about 469.3795041007.

Adding to 103412340 its reverse (43214301), we get a palindrome (146626641).

The spelling of 103412340 in words is "one hundred three million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 199 398 597 796 995 1194 1791 1990 2388 2887 2985 3582 3980 5774 5970 7164 8661 8955 11548 11940 14435 17322 17910 25983 28870 34644 35820 43305 51966 57740 86610 103932 129915 173220 259830 519660 574513 1149026 1723539 2298052 2872565 3447078 5170617 5745130 6894156 8617695 10341234 11490260 17235390 20682468 25853085 34470780 51706170 103412340