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34148532 = 22311614241
BaseRepresentation
bin1000001001000…
…1000010110100
32101020220222110
42002101002310
532220223112
63215531020
7563154255
oct202210264
971226873
1034148532
1118304330
12b529a70
1370c8342
14476cb2c
152ee813c
hex20910b4

34148532 has 48 divisors (see below), whose sum is σ = 88369344. Its totient is φ = 10176000.

The previous prime is 34148519. The next prime is 34148533. The reversal of 34148532 is 23584143.

It is a super-2 number, since 2×341485322 = 2332244475510048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34148532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34148533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5932 + ... + 10172.

It is an arithmetic number, because the mean of its divisors is an integer number (1841028).

Almost surely, 234148532 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 34148532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44184672).

34148532 is an abundant number, since it is smaller than the sum of its proper divisors (54220812).

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

34148532 is a wasteful number, since it uses less digits than its factorization.

34148532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4318 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 34148532 is about 5843.6745289244. The cubic root of 34148532 is about 324.4322458283.

The spelling of 34148532 in words is "thirty-four million, one hundred forty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 4241 8052 8482 12723 16964 25446 46651 50892 93302 139953 186604 258701 279906 517402 559812 776103 1034804 1552206 2845711 3104412 5691422 8537133 11382844 17074266 34148532