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103434324 = 223717113641
BaseRepresentation
bin1100010101001…
…00100001010100
321012122000012220
412022210201110
5202434344244
614132542340
72364114540
oct612444124
9235560186
10103434324
1153427814
122a7819b0
1318576a56
14da46a20
159132319
hex62a4854

103434324 has 96 divisors (see below), whose sum is σ = 295094016. Its totient is φ = 27525120.

The previous prime is 103434319. The next prime is 103434337. The reversal of 103434324 is 423434301.

103434324 is nontrivially palindromic in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 103434294 and 103434303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161044 + ... + 161684.

It is an arithmetic number, because the mean of its divisors is an integer number (3073896).

Almost surely, 2103434324 is an apocalyptic number.

103434324 is a gapful number since it is divisible by the number (14) 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 103434324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147547008).

103434324 is an abundant number, since it is smaller than the sum of its proper divisors (191659692).

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

103434324 is a wasteful number, since it uses less digits than its factorization.

103434324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 103434324 is about 10170.2666631706. The cubic root of 103434324 is about 469.4127628907.

Adding to 103434324 its reverse (423434301), we get a palindrome (526868625).

The spelling of 103434324 in words is "one hundred three million, four hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 113 119 204 226 238 339 357 452 476 641 678 714 791 1282 1356 1428 1582 1921 1923 2373 2564 3164 3842 3846 4487 4746 5763 7684 7692 8974 9492 10897 11526 13447 13461 17948 21794 23052 26894 26922 32691 40341 43588 53788 53844 65382 72433 76279 80682 130764 144866 152558 161364 217299 228837 289732 305116 434598 457674 507031 869196 915348 1014062 1231361 1521093 2028124 2462722 3042186 3694083 4925444 6084372 7388166 8619527 14776332 17239054 25858581 34478108 51717162 103434324