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29414340 = 2234567271
BaseRepresentation
bin111000000110…
…1001111000100
32001100101220000
41300031033010
530012224330
62530241300
7505006044
oct160151704
961311800
1029414340
111567047a
129a26230
13612b547
143c99724
1528b0560
hex1c0d3c4

29414340 has 120 divisors (see below), whose sum is σ = 93996672. Its totient is φ = 7698240.

The previous prime is 29414303. The next prime is 29414387. The reversal of 29414340 is 4341492.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108405 + ... + 108675.

Almost surely, 229414340 is an apocalyptic number.

29414340 is a gapful number since it is divisible by the number (20) 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 29414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46998336).

29414340 is an abundant number, since it is smaller than the sum of its proper divisors (64582332).

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

29414340 is a wasteful number, since it uses less digits than its factorization.

29414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 29414340 is about 5423.4988706554. The cubic root of 29414340 is about 308.6879685463.

The spelling of 29414340 in words is "twenty-nine million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 81 90 108 134 135 162 180 201 268 270 271 324 335 402 405 540 542 603 670 804 810 813 1005 1084 1206 1340 1355 1620 1626 1809 2010 2412 2439 2710 3015 3252 3618 4020 4065 4878 5420 5427 6030 7236 7317 8130 9045 9756 10854 12060 12195 14634 16260 18090 18157 21708 21951 24390 27135 29268 36180 36314 36585 43902 48780 54270 54471 72628 73170 87804 90785 108540 108942 109755 146340 163413 181570 217884 219510 272355 326826 363140 439020 490239 544710 653652 817065 980478 1089420 1470717 1634130 1960956 2451195 2941434 3268260 4902390 5882868 7353585 9804780 14707170 29414340