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34448148 = 22327223613
BaseRepresentation
bin1000001101101…
…0001100010100
32101211010222100
42003122030110
532304320043
63230202100
7565542630
oct203321424
971733870
1034448148
1118499449
12b653330
1371a1827
144809dc0
153056cd3
hex20da314

34448148 has 72 divisors (see below), whose sum is σ = 100126208. Its totient is φ = 9782208.

The previous prime is 34448129. The next prime is 34448149. The reversal of 34448148 is 84184443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34448149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55890 + ... + 56502.

Almost surely, 234448148 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 34448148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50063104).

34448148 is an abundant number, since it is smaller than the sum of its proper divisors (65678060).

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

34448148 is a wasteful number, since it uses less digits than its factorization.

34448148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 848 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 34448148 is about 5869.2544671364. The cubic root of 34448148 is about 325.3783302262.

It can be divided in two parts, 34448 and 148, that added together give a square (34596 = 1862).

The spelling of 34448148 in words is "thirty-four million, four hundred forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 223 252 446 613 669 892 1226 1338 1561 1839 2007 2452 2676 3122 3678 4014 4291 4683 5517 6244 7356 8028 8582 9366 11034 12873 14049 17164 18732 22068 25746 28098 38619 51492 56196 77238 136699 154476 273398 410097 546796 820194 956893 1230291 1640388 1913786 2460582 2870679 3827572 4921164 5741358 8612037 11482716 17224074 34448148