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100342000 = 2453114561
BaseRepresentation
bin1011111101100…
…01100011110000
320222210220100101
411332301203300
5201141421000
613542402144
72325615163
oct576614360
9228726311
10100342000
1151705480
1229730354
1317a33385
14d47dada
158c20e6a
hex5fb18f0

100342000 has 80 divisors (see below), whose sum is σ = 264741984. Its totient is φ = 36480000.

The previous prime is 100341979. The next prime is 100342003. The reversal of 100342000 is 243001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100342003) 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, 19720 + ... + 24280.

Almost surely, 2100342000 is an apocalyptic number.

100342000 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 100342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132370992).

100342000 is an abundant number, since it is smaller than the sum of its proper divisors (164399984).

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

100342000 is a wasteful number, since it uses less digits than its factorization.

100342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 100342000 is about 10017.0854044477. The cubic root of 100342000 is about 464.6874224109.

Adding to 100342000 its reverse (243001), we get a palindrome (100585001).

The spelling of 100342000 in words is "one hundred million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 4561 5500 9122 11000 18244 22000 22805 36488 45610 50171 72976 91220 100342 114025 182440 200684 228050 250855 364880 401368 456100 501710 570125 802736 912200 1003420 1140250 1254275 1824400 2006840 2280500 2508550 4013680 4561000 5017100 6271375 9122000 10034200 12542750 20068400 25085500 50171000 100342000