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34919808 = 2737111181
BaseRepresentation
bin1000010100110…
…1010110000000
32102201002222020
42011031112000
532414413213
63244241440
7602546010
oct205152600
972632866
1034919808
1118790850
12b840280
137308411
1448cdc40
1530eb923
hex214d580

34919808 has 128 divisors (see below), whose sum is σ = 115741440. Its totient is φ = 9062400.

The previous prime is 34919791. The next prime is 34919813. The reversal of 34919808 is 80891943.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 34919808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28978 + ... + 30158.

It is an arithmetic number, because the mean of its divisors is an integer number (904230).

Almost surely, 234919808 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 34919808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57870720).

34919808 is an abundant number, since it is smaller than the sum of its proper divisors (80821632).

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

34919808 is a wasteful number, since it uses less digits than its factorization.

34919808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 34919808 is about 5909.2984355167. The cubic root of 34919808 is about 326.8566177404.

The spelling of 34919808 in words is "thirty-four million, nine hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1181 1232 1344 1408 1848 2112 2362 2464 2688 3543 3696 4224 4724 4928 7086 7392 8267 9448 9856 12991 14172 14784 16534 18896 24801 25982 28344 29568 33068 37792 38973 49602 51964 56688 66136 75584 77946 90937 99204 103928 113376 132272 151168 155892 181874 198408 207856 226752 264544 272811 311784 363748 396816 415712 453504 529088 545622 623568 727496 793632 831424 1058176 1091244 1247136 1454992 1587264 1662848 2182488 2494272 2909984 3174528 4364976 4988544 5819968 8729952 11639936 17459904 34919808