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34342152 = 2331328467
BaseRepresentation
bin1000001100000…
…0010100001000
32101121202120120
42003000110020
532242422102
63224023240
7564621615
oct203002410
971552516
1034342152
1118426849
12b601b20
137165500
1447bd50c
1530356bc
hex20c0508

34342152 has 48 divisors (see below), whose sum is σ = 92978640. Its totient is φ = 10565568.

The previous prime is 34342129. The next prime is 34342153. The reversal of 34342152 is 25124343.

It is a super-4 number, since 4×343421524 (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34342153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178 + ... + 8289.

It is an arithmetic number, because the mean of its divisors is an integer number (1937055).

Almost surely, 234342152 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 34342152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46489320).

34342152 is an abundant number, since it is smaller than the sum of its proper divisors (58636488).

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

34342152 is a wasteful number, since it uses less digits than its factorization.

34342152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8502 (or 8485 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 34342152 is about 5860.2177433949. The cubic root of 34342152 is about 325.0442606387.

Adding to 34342152 its reverse (25124343), we get a palindrome (59466495).

The spelling of 34342152 in words is "thirty-four million, three hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 8467 16934 25401 33868 50802 67736 101604 110071 203208 220142 330213 440284 660426 880568 1320852 1430923 2641704 2861846 4292769 5723692 8585538 11447384 17171076 34342152