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103354300 = 22527192409
BaseRepresentation
bin1100010100100…
…00111110111100
321012110221110001
412022100332330
5202424314200
614131124044
72363332330
oct612207674
9235427401
10103354300
1153382685
122a743624
13185494ba
14da257c0
15911876a
hex6290fbc

103354300 has 108 divisors (see below), whose sum is σ = 271180560. Its totient is φ = 33488640.

The previous prime is 103354291. The next prime is 103354301. The reversal of 103354300 is 3453301.

It is a super-2 number, since 2×1033543002 = 21364222656980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103354301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252496 + ... + 252904.

Almost surely, 2103354300 is an apocalyptic number.

103354300 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 103354300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135590280).

103354300 is an abundant number, since it is smaller than the sum of its proper divisors (167826260).

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

103354300 is a wasteful number, since it uses less digits than its factorization.

103354300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 103354300 is about 10166.3316884705. The cubic root of 103354300 is about 469.2916748511.

Subtracting from 103354300 its reverse (3453301), we obtain a palindrome (99900999).

The spelling of 103354300 in words is "one hundred three million, three hundred fifty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 361 380 409 475 532 665 700 722 818 950 1330 1444 1636 1805 1900 2045 2527 2660 2863 3325 3610 4090 5054 5726 6650 7220 7771 8180 9025 10108 10225 11452 12635 13300 14315 15542 18050 20450 25270 28630 31084 36100 38855 40900 50540 54397 57260 63175 71575 77710 108794 126350 143150 147649 155420 194275 217588 252700 271985 286300 295298 388550 543970 590596 738245 777100 1033543 1087940 1359925 1476490 2067086 2719850 2952980 3691225 4134172 5167715 5439700 7382450 10335430 14764900 20670860 25838575 51677150 103354300