Search a number
-
+
1706668340 = 2251317936671
BaseRepresentation
bin110010110111001…
…1011000100110100
311101221101201211112
41211232123010310
511443401341330
6441203454152
760202304306
oct14556330464
94357351745
101706668340
117a6408203
123b7687358
13212772830
1412293d976
159ec6e795
hex65b9b134

1706668340 has 48 divisors (see below), whose sum is σ = 3881364480. Its totient is φ = 626616960.

The previous prime is 1706668339. The next prime is 1706668349. The reversal of 1706668340 is 438666071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1706668349) 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, 28205 + ... + 64875.

It is an arithmetic number, because the mean of its divisors is an integer number (80861760).

Almost surely, 21706668340 is an apocalyptic number.

1706668340 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 1706668340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940682240).

1706668340 is an abundant number, since it is smaller than the sum of its proper divisors (2174696140).

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

1706668340 is a wasteful number, since it uses less digits than its factorization.

1706668340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36872 (or 36870 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 1706668340 is about 41311.8426120162. The cubic root of 1706668340 is about 1195.0416563153.

The spelling of 1706668340 in words is "one billion, seven hundred six million, six hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 179 260 358 716 895 1790 2327 3580 4654 9308 11635 23270 36671 46540 73342 146684 183355 366710 476723 733420 953446 1906892 2383615 4767230 6564109 9534460 13128218 26256436 32820545 65641090 85333417 131282180 170666834 341333668 426667085 853334170 1706668340