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742350 = 235272101
BaseRepresentation
bin10110101001111001110
31101201022110
42311033032
5142223400
623524450
76211200
oct2651716
91351273
10742350
11467814
122b9726
131ccb7b
14154770
15e9e50
hexb53ce

742350 has 72 divisors (see below), whose sum is σ = 2162808. Its totient is φ = 168000.

The previous prime is 742333. The next prime is 742351. The reversal of 742350 is 53247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742351) by changing a digit.

742350 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7300 + ... + 7400.

It is an arithmetic number, because the mean of its divisors is an integer number (30039).

2742350 is an apocalyptic number.

742350 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 742350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081404).

742350 is an abundant number, since it is smaller than the sum of its proper divisors (1420458).

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

742350 is a wasteful number, since it uses less digits than its factorization.

742350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 742350 is about 861.5973537564. The cubic root of 742350 is about 90.5460628527.

Adding to 742350 its sum of digits (21), we get a triangular number (742371 = T1218).

Adding to 742350 its reverse (53247), we get a palindrome (795597).

The spelling of 742350 in words is "seven hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 101 105 147 150 175 202 210 245 294 303 350 490 505 525 606 707 735 1010 1050 1225 1414 1470 1515 2121 2450 2525 3030 3535 3675 4242 4949 5050 7070 7350 7575 9898 10605 14847 15150 17675 21210 24745 29694 35350 49490 53025 74235 106050 123725 148470 247450 371175 742350