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34231104 = 263267887
BaseRepresentation
bin1000001010010…
…1001101000000
32101102010020200
42002211031000
532230343404
63221405200
7563650065
oct202451500
971363220
1034231104
1118360376
12b569800
137126abb
144790c6c
153012839
hex20a5340

34231104 has 84 divisors (see below), whose sum is σ = 99693984. Its totient is φ = 11227392.

The previous prime is 34231097. The next prime is 34231121. The reversal of 34231104 is 40113243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38149 + ... + 39035.

Almost surely, 234231104 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 34231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49846992).

34231104 is an abundant number, since it is smaller than the sum of its proper divisors (65462880).

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

34231104 is a wasteful number, since it uses less digits than its factorization.

34231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34231104 is about 5850.7353383998. The cubic root of 34231104 is about 324.6935304245.

Adding to 34231104 its reverse (40113243), we get a palindrome (74344347).

The spelling of 34231104 in words is "thirty-four million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 804 887 1072 1206 1608 1774 2144 2412 2661 3216 3548 4288 4824 5322 6432 7096 7983 9648 10644 12864 14192 15966 19296 21288 28384 31932 38592 42576 56768 59429 63864 85152 118858 127728 170304 178287 237716 255456 356574 475432 510912 534861 713148 950864 1069722 1426296 1901728 2139444 2852592 3803456 4278888 5705184 8557776 11410368 17115552 34231104