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100341340 = 22511617477
BaseRepresentation
bin1011111101100…
…01011001011100
320222210212102221
411332301121130
5201141410330
613542355124
72325613231
oct576613134
9228725387
10100341340
1151704a30
122972baa4
1317a32c98
14d47d788
158c20b7a
hex5fb165c

100341340 has 48 divisors (see below), whose sum is σ = 233672544. Its totient is φ = 35884800.

The previous prime is 100341313. The next prime is 100341343. The reversal of 100341340 is 43143001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100341343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9682 + ... + 17158.

It is an arithmetic number, because the mean of its divisors is an integer number (4868178).

Almost surely, 2100341340 is an apocalyptic number.

100341340 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 100341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116836272).

100341340 is an abundant number, since it is smaller than the sum of its proper divisors (133331204).

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

100341340 is a wasteful number, since it uses less digits than its factorization.

100341340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7558 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 100341340 is about 10017.0524606792. The cubic root of 100341340 is about 464.6864035808.

Adding to 100341340 its reverse (43143001), we get a palindrome (143484341).

The spelling of 100341340 in words is "one hundred million, three hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6710 7477 13420 14954 29908 37385 74770 82247 149540 164494 328988 411235 456097 822470 912194 1644940 1824388 2280485 4560970 5017067 9121940 10034134 20068268 25085335 50170670 100341340