Search a number
-
+
34249860 = 223251791063
BaseRepresentation
bin1000001010100…
…1110010000100
32101110001222100
42002221302010
532231443420
63222032100
7564055551
oct202516204
971401870
1034249860
1118373477
12b578630
1371324b8
144797a28
153018190
hex20a9c84

34249860 has 72 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 9073728.

The previous prime is 34249847. The next prime is 34249861. The reversal of 34249860 is 6894243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34249861) 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, 31689 + ... + 32751.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 234249860 is an apocalyptic number.

34249860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34249860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

34249860 is an abundant number, since it is smaller than the sum of its proper divisors (70320060).

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

34249860 is a wasteful number, since it uses less digits than its factorization.

34249860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34249860 is about 5852.3379943404. The cubic root of 34249860 is about 324.7528219188.

The spelling of 34249860 in words is "thirty-four million, two hundred forty-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 537 716 895 1063 1074 1611 1790 2126 2148 2685 3189 3222 3580 4252 5315 5370 6378 6444 8055 9567 10630 10740 12756 15945 16110 19134 21260 31890 32220 38268 47835 63780 95670 190277 191340 380554 570831 761108 951385 1141662 1712493 1902770 2283324 2854155 3424986 3805540 5708310 6849972 8562465 11416620 17124930 34249860