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34474368 = 273175281
BaseRepresentation
bin1000001110000…
…0100110000000
32101212110221110
42003200212000
532311134433
63230523320
7566012235
oct203404600
971773843
1034474368
1118507115
12b666540
1371b0746
14481578c
15305e963
hex20e0980

34474368 has 64 divisors (see below), whose sum is σ = 96977520. Its totient is φ = 10813440.

The previous prime is 34474367. The next prime is 34474369. The reversal of 34474368 is 86347443.

It is an interprime number because it is at equal distance from previous prime (34474367) and next prime (34474369).

It is a tau number, because it is divible by the number of its divisors (64).

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 (34474367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3888 + ... + 9168.

Almost surely, 234474368 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 34474368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48488760).

34474368 is an abundant number, since it is smaller than the sum of its proper divisors (62503152).

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

34474368 is a wasteful number, since it uses less digits than its factorization.

34474368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315 (or 5303 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 34474368 is about 5871.4877160733. The cubic root of 34474368 is about 325.4608625410.

The spelling of 34474368 in words is "thirty-four million, four hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 5281 6528 10562 15843 21124 31686 42248 63372 84496 89777 126744 168992 179554 253488 269331 337984 359108 506976 538662 675968 718216 1013952 1077324 1436432 2027904 2154648 2872864 4309296 5745728 8618592 11491456 17237184 34474368