Search a number
-
+
345706080 = 2535720221
BaseRepresentation
bin10100100110110…
…000111001100000
3220002111200120220
4110212300321200
51202000043310
654145403040
711365311306
oct2446607140
9802450526
10345706080
11168162105
1297939480
1356811915
1433cb0276
152053b670
hex149b0e60

345706080 has 48 divisors (see below), whose sum is σ = 1088975664. Its totient is φ = 92188160.

The previous prime is 345706051. The next prime is 345706117. The reversal of 345706080 is 80607543.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359631 + ... + 360590.

It is an arithmetic number, because the mean of its divisors is an integer number (22686993).

Almost surely, 2345706080 is an apocalyptic number.

345706080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345706080 is an abundant number, since it is smaller than the sum of its proper divisors (743269584).

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

345706080 is a wasteful number, since it uses less digits than its factorization.

345706080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720239 (or 720231 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 345706080 is about 18593.1729406253. The cubic root of 345706080 is about 701.8360507061.

The spelling of 345706080 in words is "three hundred forty-five million, seven hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 720221 1440442 2160663 2880884 3601105 4321326 5761768 7202210 8642652 10803315 11523536 14404420 17285304 21606630 23047072 28808840 34570608 43213260 57617680 69141216 86426520 115235360 172853040 345706080