Search a number
-
+
34804848 = 24313172193
BaseRepresentation
bin1000010011000…
…1010001110000
32102111021021110
42010301101300
532402223343
63241553320
7601556601
oct204612160
972437243
1034804848
1118712441
12b7a5840
137297cb0
14489dda8
1530c7833
hex2131470

34804848 has 120 divisors (see below), whose sum is σ = 103392688. Its totient is φ = 10027008.

The previous prime is 34804837. The next prime is 34804849. The reversal of 34804848 is 84840843.

It is a super-2 number, since 2×348048482 = 2422754888606208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34804849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180240 + ... + 180432.

Almost surely, 234804848 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 34804848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51696344).

34804848 is an abundant number, since it is smaller than the sum of its proper divisors (68587840).

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

34804848 is a wasteful number, since it uses less digits than its factorization.

34804848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 34804848 is about 5899.5633736744. The cubic root of 34804848 is about 326.4975402929.

The spelling of 34804848 in words is "thirty-four million, eight hundred four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 193 204 208 221 272 289 312 386 408 442 578 579 624 663 772 816 867 884 1156 1158 1326 1544 1734 1768 2312 2316 2509 2652 3088 3281 3468 3536 3757 4624 4632 5018 5304 6562 6936 7514 7527 9264 9843 10036 10608 11271 13124 13872 15028 15054 19686 20072 22542 26248 30056 30108 39372 40144 42653 45084 52496 55777 60112 60216 78744 85306 90168 111554 120432 127959 157488 167331 170612 180336 223108 255918 334662 341224 446216 511836 669324 682448 725101 892432 1023672 1338648 1450202 2047344 2175303 2677296 2900404 4350606 5800808 8701212 11601616 17402424 34804848