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34101312 = 263725373
BaseRepresentation
bin1000001000010…
…1100001000000
32101011112012120
42002011201000
532212220222
63214524240
7562566510
oct202054100
971145176
1034101312
1118281903
12b506680
1370ac9bb
144759840
152ed915c
hex2085840

34101312 has 56 divisors (see below), whose sum is σ = 103119936. Its totient is φ = 9742848.

The previous prime is 34101311. The next prime is 34101349. The reversal of 34101312 is 21310143.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 34101291 and 34101300.

It is not an unprimeable number, because it can be changed into a prime (34101311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11343 + ... + 14030.

Almost surely, 234101312 is an apocalyptic number.

34101312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34101312 is an abundant number, since it is smaller than the sum of its proper divisors (69018624).

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

34101312 is a wasteful number, since it uses less digits than its factorization.

34101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25395 (or 25385 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 34101312 is about 5839.6328651723. The cubic root of 34101312 is about 324.2826370804.

Adding to 34101312 its reverse (21310143), we get a palindrome (55411455).

The spelling of 34101312 in words is "thirty-four million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 25373 50746 76119 101492 152238 177611 202984 304476 355222 405968 532833 608952 710444 811936 1065666 1217904 1420888 1623872 2131332 2435808 2841776 4262664 4871616 5683552 8525328 11367104 17050656 34101312