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34411468 = 22713176783
BaseRepresentation
bin1000001101000…
…1001111001100
32101202021122211
42003101033030
532302131333
63225320204
7565330660
oct203211714
971667584
1034411468
1118473933
12b636064
13718ac20
1447da8a0
15304aecd
hex20d13cc

34411468 has 96 divisors (see below), whose sum is σ = 80607744. Its totient is φ = 12469248.

The previous prime is 34411463. The next prime is 34411477. The reversal of 34411468 is 86411443.

It is not an unprimeable number, because it can be changed into a prime (34411463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414555 + ... + 414637.

It is an arithmetic number, because the mean of its divisors is an integer number (839664).

Almost surely, 234411468 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 34411468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40303872).

34411468 is an abundant number, since it is smaller than the sum of its proper divisors (46196276).

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

34411468 is a wasteful number, since it uses less digits than its factorization.

34411468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 34411468 is about 5866.1288768659. The cubic root of 34411468 is about 325.2628028187.

The spelling of 34411468 in words is "thirty-four million, four hundred eleven thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 67 68 83 91 119 134 166 182 221 238 268 332 364 442 469 476 581 871 884 938 1079 1139 1162 1411 1547 1742 1876 2158 2278 2324 2822 3094 3484 4316 4556 5561 5644 6097 6188 7553 7973 9877 11122 12194 14807 15106 15946 18343 19754 22244 24388 29614 30212 31892 36686 38927 39508 59228 72293 73372 77854 94537 103649 128401 144586 155708 189074 207298 256802 289172 378148 414596 506051 513604 661759 1012102 1228981 1323518 2024204 2457962 2647036 4915924 8602867 17205734 34411468