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34461364 = 22719211307
BaseRepresentation
bin1000001101110…
…1011010110100
32101211211002211
42003131122310
532310230424
63230343204
7565626310
oct203353264
971754084
1034461364
11184a8373
12b65ab04
1371a7852
144810b40
15305ab94
hex20dd6b4

34461364 has 48 divisors (see below), whose sum is σ = 73131520. Its totient is φ = 13880160.

The previous prime is 34461347. The next prime is 34461373. The reversal of 34461364 is 46316443.

34461364 = T1071 + T1072 + ... + T1127.

It is a happy number.

34461364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112099 + ... + 112405.

Almost surely, 234461364 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 34461364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36565760).

34461364 is an abundant number, since it is smaller than the sum of its proper divisors (38670156).

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

34461364 is a wasteful number, since it uses less digits than its factorization.

34461364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 546 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The square root of 34461364 is about 5870.3802261864. The cubic root of 34461364 is about 325.4199352709.

The spelling of 34461364 in words is "thirty-four million, four hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 211 266 307 422 532 614 844 1228 1477 2149 2954 4009 4298 5833 5908 8018 8596 11666 16036 23332 28063 40831 56126 64777 81662 112252 129554 163324 259108 453439 906878 1230763 1813756 2461526 4923052 8615341 17230682 34461364