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1742410290 = 235377122109
BaseRepresentation
bin110011111011011…
…0001001000110010
311111102122121120110
41213312301020302
512032024112130
6444521522150
761115146245
oct14766611062
94442577513
101742410290
118145aa705
12407643356
13219ca820a
141275a525c
15a2e7eab0
hex67db1232

1742410290 has 64 divisors (see below), whose sum is σ = 4355493120. Its totient is φ = 445697280.

The previous prime is 1742410289. The next prime is 1742410303. The reversal of 1742410290 is 920142471.

1742410290 is digitally balanced in base 4, 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 (30).

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, 67756 + ... + 89864.

It is an arithmetic number, because the mean of its divisors is an integer number (68054580).

Almost surely, 21742410290 is an apocalyptic number.

1742410290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1742410290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177746560).

1742410290 is an abundant number, since it is smaller than the sum of its proper divisors (2613082830).

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

1742410290 is a wasteful number, since it uses less digits than its factorization.

1742410290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22227.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1742410290 is about 41742.1883709994. The cubic root of 1742410290 is about 1203.3264855023.

The spelling of 1742410290 in words is "one billion, seven hundred forty-two million, four hundred ten thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 71 74 111 142 185 213 222 355 370 426 555 710 1065 1110 2130 2627 5254 7881 13135 15762 22109 26270 39405 44218 66327 78810 110545 132654 221090 331635 663270 818033 1569739 1636066 2454099 3139478 4090165 4709217 4908198 7848695 8180330 9418434 12270495 15697390 23546085 24540990 47092170 58080343 116160686 174241029 290401715 348482058 580803430 871205145 1742410290