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100342368 = 2533747353
BaseRepresentation
bin1011111101100…
…01101001100000
320222210220212000
411332301221200
5201141423433
613542404000
72325616230
oct576615140
9228726760
10100342368
1151705785
1229730600
1317a335a9
14d47dcc0
158c21113
hex5fb1a60

100342368 has 192 divisors, whose sum is σ = 342558720. Its totient is φ = 27979776.

The previous prime is 100342343. The next prime is 100342379. The reversal of 100342368 is 863243001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 284080 + ... + 284432.

It is an arithmetic number, because the mean of its divisors is an integer number (1784160).

Almost surely, 2100342368 is an apocalyptic number.

100342368 is a gapful number since it is divisible by the number (18) 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 100342368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171279360).

100342368 is an abundant number, since it is smaller than the sum of its proper divisors (242216352).

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

100342368 is a wasteful number, since it uses less digits than its factorization.

100342368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 100342368 is about 10017.1037730474. The cubic root of 100342368 is about 464.6879904840.

Adding to 100342368 its reverse (863243001), we get a palindrome (963585369).

The spelling of 100342368 in words is "one hundred million, three hundred forty-two thousand, three hundred sixty-eight".