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34878272 = 26111337103
BaseRepresentation
bin1000010100001…
…1001101000000
32102121222222212
42011003031000
532412101042
63243321252
7602313632
oct205031500
972558885
1034878272
1118762620
12b820228
1372c2540
1448bca52
1530de482
hex2143340

34878272 has 112 divisors (see below), whose sum is σ = 84319872. Its totient is φ = 14100480.

The previous prime is 34878269. The next prime is 34878301. The reversal of 34878272 is 27287843.

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, 338573 + ... + 338675.

It is an arithmetic number, because the mean of its divisors is an integer number (752856).

Almost surely, 234878272 is an apocalyptic number.

34878272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42159936).

34878272 is an abundant number, since it is smaller than the sum of its proper divisors (49441600).

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

34878272 is a wasteful number, since it uses less digits than its factorization.

34878272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its digits is 150528, while the sum is 41.

The square root of 34878272 is about 5905.7829286217. The cubic root of 34878272 is about 326.7269711427.

The spelling of 34878272 in words is "thirty-four million, eight hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 37 44 52 64 74 88 103 104 143 148 176 206 208 286 296 352 407 412 416 481 572 592 704 814 824 832 962 1133 1144 1184 1339 1628 1648 1924 2266 2288 2368 2678 3256 3296 3811 3848 4532 4576 5291 5356 6512 6592 7622 7696 9064 9152 10582 10712 13024 14729 15244 15392 18128 21164 21424 26048 29458 30488 30784 36256 41921 42328 42848 49543 58916 60976 72512 83842 84656 85696 99086 117832 121952 167684 169312 198172 235664 243904 335368 338624 396344 471328 544973 670736 792688 942656 1089946 1341472 1585376 2179892 2682944 3170752 4359784 8719568 17439136 34878272