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34094368 = 25711101137
BaseRepresentation
bin1000001000001…
…1110100100000
32101011011200101
42002003310200
532212004433
63214432144
7562540330
oct202036440
971134611
1034094368
1118277670
12b502654
1370a97a9
1447570c0
152ed707d
hex2083d20

34094368 has 96 divisors (see below), whose sum is σ = 85131648. Its totient is φ = 13056000.

The previous prime is 34094363. The next prime is 34094377. The reversal of 34094368 is 86349043.

It is not an unprimeable number, because it can be changed into a prime (34094363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248796 + ... + 248932.

It is an arithmetic number, because the mean of its divisors is an integer number (886788).

Almost surely, 234094368 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 34094368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42565824).

34094368 is an abundant number, since it is smaller than the sum of its proper divisors (51037280).

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

34094368 is a wasteful number, since it uses less digits than its factorization.

34094368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 34094368 is about 5839.0382769768. The cubic root of 34094368 is about 324.2606245207.

It can be divided in two parts, 3409 and 4368, that added together give a palindrome (7777).

The spelling of 34094368 in words is "thirty-four million, ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 101 112 137 154 176 202 224 274 308 352 404 548 616 707 808 959 1096 1111 1232 1414 1507 1616 1918 2192 2222 2464 2828 3014 3232 3836 4384 4444 5656 6028 7672 7777 8888 10549 11312 12056 13837 15344 15554 17776 21098 22624 24112 27674 30688 31108 35552 42196 48224 55348 62216 84392 96859 110696 124432 152207 168784 193718 221392 248864 304414 337568 387436 442784 608828 774872 1065449 1217656 1549744 2130898 2435312 3099488 4261796 4870624 8523592 17047184 34094368