Search a number
-
+
34456048 = 24111371429
BaseRepresentation
bin1000001101110…
…0000111110000
32101211112210221
42003130013300
532310043143
63230302424
7565604644
oct203340760
971745727
1034456048
11184a4380
12b657a14
1371a52c3
14480cc24
1530592ed
hex20dc1f0

34456048 has 40 divisors (see below), whose sum is σ = 73410480. Its totient is φ = 15536640.

The previous prime is 34456043. The next prime is 34456061. The reversal of 34456048 is 84065443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34456043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23398 + ... + 24826.

It is an arithmetic number, because the mean of its divisors is an integer number (1835262).

Almost surely, 234456048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34456048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36705240).

34456048 is an abundant number, since it is smaller than the sum of its proper divisors (38954432).

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

34456048 is a wasteful number, since it uses less digits than its factorization.

34456048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 34456048 is about 5869.9274271493. The cubic root of 34456048 is about 325.4032013488.

The spelling of 34456048 in words is "thirty-four million, four hundred fifty-six thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 137 176 274 548 1096 1429 1507 2192 2858 3014 5716 6028 11432 12056 15719 22864 24112 31438 62876 125752 195773 251504 391546 783092 1566184 2153503 3132368 4307006 8614012 17228024 34456048