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34440144 = 2436710709
BaseRepresentation
bin1000001101100…
…0001111010000
32101210201222220
42003120033100
532304041034
63230101040
7565510404
oct203301720
971721886
1034440144
1118493432
12b64a780
13719acab
144807104
153054749
hex20d83d0

34440144 has 40 divisors (see below), whose sum is σ = 90306720. Its totient is φ = 11307648.

The previous prime is 34440127. The next prime is 34440151. The reversal of 34440144 is 44104443.

It is a super-2 number, since 2×344401442 = 2372247037481472, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2139 + ... + 8570.

It is an arithmetic number, because the mean of its divisors is an integer number (2257668).

Almost surely, 234440144 is an apocalyptic number.

It is an amenable number.

34440144 is an abundant number, since it is smaller than the sum of its proper divisors (55866576).

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

34440144 is a wasteful number, since it uses less digits than its factorization.

34440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10787 (or 10781 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 34440144 is about 5868.5725692028. The cubic root of 34440144 is about 325.3531278081.

Adding to 34440144 its reverse (44104443), we get a palindrome (78544587).

The spelling of 34440144 in words is "thirty-four million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 10709 21418 32127 42836 64254 85672 128508 171344 257016 514032 717503 1435006 2152509 2870012 4305018 5740024 8610036 11480048 17220072 34440144