Search a number
-
+
34380801 = 3372131999
BaseRepresentation
bin1000001100100…
…1110000000001
32101200201121000
42003021300001
532300141201
63224522213
7565142400
oct203116001
971621530
1034380801
1118452894
12b620369
137179c90
1447cd637
153041d86
hex20c9c01

34380801 has 48 divisors (see below), whose sum is σ = 63840000. Its totient is φ = 18125856.

The previous prime is 34380793. The next prime is 34380811. The reversal of 34380801 is 10808343.

It is not a de Polignac number, because 34380801 - 23 = 34380793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34380811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16200 + ... + 18198.

It is an arithmetic number, because the mean of its divisors is an integer number (1330000).

Almost surely, 234380801 is an apocalyptic number.

It is an amenable number.

34380801 is a deficient number, since it is larger than the sum of its proper divisors (29459199).

34380801 is a wasteful number, since it uses less digits than its factorization.

34380801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 34380801 is about 5863.5143898519. The cubic root of 34380801 is about 325.1661509410.

The spelling of 34380801 in words is "thirty-four million, three hundred eighty thousand, eight hundred one".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 1323 1911 1999 2457 5733 5997 13993 17199 17991 25987 41979 53973 77961 97951 125937 181909 233883 293853 377811 545727 701649 881559 1273363 1637181 2644677 3820089 4911543 11460267 34380801