Search a number
-
+
34738119 = 3313223331
BaseRepresentation
bin1000010010000…
…0111111000111
32102100212202000
42010200333013
532343104434
63240320343
7601161213
oct204407707
972325660
1034738119
1118677299
12b7730b3
137273800
144883943
1530b2b99
hex2120fc7

34738119 has 48 divisors (see below), whose sum is σ = 58325760. Its totient is φ = 20386080.

The previous prime is 34738091. The next prime is 34738127. The reversal of 34738119 is 91183743.

It is a happy number.

It is not a de Polignac number, because 34738119 - 25 = 34738087 is a prime.

It is a super-2 number, since 2×347381192 = 2413473823316322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34738139) 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, 104784 + ... + 105114.

It is an arithmetic number, because the mean of its divisors is an integer number (1215120).

Almost surely, 234738119 is an apocalyptic number.

34738119 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

34738119 is a deficient number, since it is larger than the sum of its proper divisors (23587641).

34738119 is a wasteful number, since it uses less digits than its factorization.

34738119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 370 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 34738119 is about 5893.9052418579. The cubic root of 34738119 is about 326.2887495261.

The spelling of 34738119 in words is "thirty-four million, seven hundred thirty-eight thousand, one hundred nineteen".

Divisors: 1 3 9 13 23 27 39 69 117 169 207 299 331 351 507 621 897 993 1521 2691 2979 3887 4303 4563 7613 8073 8937 11661 12909 22839 34983 38727 55939 68517 98969 104949 116181 167817 205551 296907 503451 890721 1286597 1510353 2672163 3859791 11579373 34738119