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34940928 = 211311247
BaseRepresentation
bin1000010101001…
…0100000000000
32102202011221110
42011102200000
532421102203
63244523320
7602664411
oct205224000
972664843
1034940928
11187a5700
12b850540
137314c09
1448d7808
153102d03
hex2152800

34940928 has 144 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 10362880.

The previous prime is 34940879. The next prime is 34940929. The reversal of 34940928 is 82904943.

It is not an unprimeable number, because it can be changed into a prime (34940929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 743401 + ... + 743447.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 234940928 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 34940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

34940928 is an abundant number, since it is smaller than the sum of its proper divisors (69628992).

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

34940928 is a wasteful number, since it uses less digits than its factorization.

34940928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 34940928 is about 5911.0851795588. The cubic root of 34940928 is about 326.9225003145.

The spelling of 34940928 in words is "thirty-four million, nine hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 121 128 132 141 176 188 192 242 256 264 282 352 363 376 384 484 512 517 528 564 704 726 752 768 968 1024 1034 1056 1128 1408 1452 1504 1536 1551 1936 2048 2068 2112 2256 2816 2904 3008 3072 3102 3872 4136 4224 4512 5632 5687 5808 6016 6144 6204 7744 8272 8448 9024 11264 11374 11616 12032 12408 15488 16544 16896 17061 18048 22528 22748 23232 24064 24816 30976 33088 33792 34122 36096 45496 46464 48128 49632 61952 66176 67584 68244 72192 90992 92928 96256 99264 123904 132352 136488 144384 181984 185856 198528 247808 264704 272976 288768 363968 371712 397056 529408 545952 727936 743424 794112 1058816 1091904 1455872 1588224 2183808 2911744 3176448 4367616 5823488 8735232 11646976 17470464 34940928