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34161930 = 23251123137
BaseRepresentation
bin1000001001010…
…0010100001010
32101021121100200
42002110110022
532221140210
63220113030
7563241315
oct202242412
971247320
1034161930
1118313400
12b535776
13710147a
14477397c
152eec0c0
hex209450a

34161930 has 72 divisors (see below), whose sum is σ = 97660836. Its totient is φ = 8279040.

The previous prime is 34161899. The next prime is 34161931. The reversal of 34161930 is 3916143.

34161930 is a `hidden beast` number, since 3 + 41 + 619 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31102929 + 3059001 = 5577^2 + 1749^2 .

It is a super-2 number, since 2×341619302 = 2334074922649800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34161894 and 34161903.

It is not an unprimeable number, because it can be changed into a prime (34161931) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9322 + ... + 12458.

It is a vampire number, since it can be written as 36309411 (with its own digits).

Almost surely, 234161930 is an apocalyptic number.

34161930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34161930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48830418).

34161930 is an abundant number, since it is smaller than the sum of its proper divisors (63498906).

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

34161930 is a wasteful number, since it uses less digits than its factorization.

34161930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 34161930 is about 5844.8207842499. The cubic root of 34161930 is about 324.4746700519.

The spelling of 34161930 in words is "thirty-four million, one hundred sixty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3137 3630 5445 6274 9411 10890 15685 18822 28233 31370 34507 47055 56466 69014 94110 103521 141165 172535 207042 282330 310563 345070 379577 517605 621126 759154 1035210 1138731 1552815 1897885 2277462 3105630 3416193 3795770 5693655 6832386 11387310 17080965 34161930