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742104 = 233211937
BaseRepresentation
bin10110101001011011000
31101200222100
42311023120
5142221404
623523400
76210366
oct2651330
91350870
10742104
11467610
122b9560
131cca1c
14154636
15e9d39
hexb52d8

742104 has 48 divisors (see below), whose sum is σ = 2194920. Its totient is φ = 224640.

The previous prime is 742073. The next prime is 742111. The reversal of 742104 is 401247.

It is a happy number.

742104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324 + ... + 1260.

2742104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097460).

742104 is an abundant number, since it is smaller than the sum of its proper divisors (1452816).

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

742104 is a wasteful number, since it uses less digits than its factorization.

742104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 742104 is about 861.4545838290. The cubic root of 742104 is about 90.5360600273.

The spelling of 742104 in words is "seven hundred forty-two thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 937 1874 2811 3748 5622 7496 8433 10307 11244 16866 20614 22488 30921 33732 41228 61842 67464 82456 92763 123684 185526 247368 371052 742104