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100368352 = 257448073
BaseRepresentation
bin1011111101101…
…11111111100000
320222212020111101
411332313333200
5201143241402
613543124144
72326055050
oct576677740
9228766441
10100368352
1151723257
1229743654
1317a42376
14d489560
158c28b87
hex5fb7fe0

100368352 has 24 divisors (see below), whose sum is σ = 225829296. Its totient is φ = 43014912.

The previous prime is 100368319. The next prime is 100368353. The reversal of 100368352 is 253863001.

It is a super-3 number, since 3×1003683523 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 100368352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100368353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 223813 + ... + 224260.

It is an arithmetic number, because the mean of its divisors is an integer number (9409554).

Almost surely, 2100368352 is an apocalyptic number.

It is an amenable number.

100368352 is an abundant number, since it is smaller than the sum of its proper divisors (125460944).

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

100368352 is an equidigital number, since it uses as much as digits as its factorization.

100368352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448090 (or 448082 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 100368352 is about 10018.4006707658. The cubic root of 100368352 is about 464.7280978713.

The spelling of 100368352 in words is "one hundred million, three hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 448073 896146 1792292 3136511 3584584 6273022 7169168 12546044 14338336 25092088 50184176 100368352