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174072340 = 225132772417
BaseRepresentation
bin10100110000000…
…10001000010100
3110010112210100201
422120002020110
5324030303330
625134550244
74212406351
oct1230021024
9403483321
10174072340
118a294142
124a368384
132a0a9ab0
1419193628
1510436eca
hexa602214

174072340 has 48 divisors (see below), whose sum is σ = 395255952. Its totient is φ = 64014336.

The previous prime is 174072287. The next prime is 174072343. The reversal of 174072340 is 43270471.

It can be written as a sum of positive squares in 8 ways, for example, as 3090564 + 170981776 = 1758^2 + 13076^2 .

It is a junction number, because it is equal to n+sod(n) for n = 174072299 and 174072308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (174072343) 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, 70812 + ... + 73228.

It is an arithmetic number, because the mean of its divisors is an integer number (8234499).

Almost surely, 2174072340 is an apocalyptic number.

174072340 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 174072340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197627976).

174072340 is an abundant number, since it is smaller than the sum of its proper divisors (221183612).

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

174072340 is a wasteful number, since it uses less digits than its factorization.

174072340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 174072340 is about 13193.6477139569. The cubic root of 174072340 is about 558.3543738018.

The spelling of 174072340 in words is "one hundred seventy-four million, seventy-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 277 554 1108 1385 2417 2770 3601 4834 5540 7202 9668 12085 14404 18005 24170 31421 36010 48340 62842 72020 125684 157105 314210 628420 669509 1339018 2678036 3347545 6695090 8703617 13390180 17407234 34814468 43518085 87036170 174072340