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34408044 = 22331122633
BaseRepresentation
bin1000001101000…
…0011001101100
32101202002222000
42003100121230
532302024134
63225252300
7565314666
oct203203154
971662860
1034408044
1118471300
12b634090
1371894b8
1447d9536
153049e99
hex20d066c

34408044 has 72 divisors (see below), whose sum is σ = 98090160. Its totient is φ = 10422720.

The previous prime is 34408021. The next prime is 34408063. The reversal of 34408044 is 44080443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34407999 and 34408017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11752 + ... + 14384.

Almost surely, 234408044 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 34408044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49045080).

34408044 is an abundant number, since it is smaller than the sum of its proper divisors (63682116).

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

34408044 is a wasteful number, since it uses less digits than its factorization.

34408044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 34408044 is about 5865.8370246709. The cubic root of 34408044 is about 325.2520143922.

Adding to 34408044 its reverse (44080443), we get a palindrome (78488487).

The spelling of 34408044 in words is "thirty-four million, four hundred eight thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 2633 3267 4356 5266 6534 7899 10532 13068 15798 23697 28963 31596 47394 57926 71091 86889 94788 115852 142182 173778 260667 284364 318593 347556 521334 637186 782001 955779 1042668 1274372 1564002 1911558 2867337 3128004 3823116 5734674 8602011 11469348 17204022 34408044