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29438040 = 2335245317
BaseRepresentation
bin111000001001…
…1000001011000
32001101121101210
41300103001120
530014004130
62530543120
7505135122
oct160230130
961347353
1029438040
1115687265
129a37aa0
136139278
143ca4212
1528b75b0
hex1c13058

29438040 has 32 divisors (see below), whose sum is σ = 88314480. Its totient is φ = 7850112.

The previous prime is 29438039. The next prime is 29438047. The reversal of 29438040 is 4083492.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29437989 and 29438007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29438047) 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, 122539 + ... + 122778.

Almost surely, 229438040 is an apocalyptic number.

29438040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29438040 is an abundant number, since it is smaller than the sum of its proper divisors (58876440).

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

29438040 is a wasteful number, since it uses less digits than its factorization.

29438040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245331 (or 245327 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 29438040 is about 5425.6833670976. The cubic root of 29438040 is about 308.7708526186.

The spelling of 29438040 in words is "twenty-nine million, four hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 245317 490634 735951 981268 1226585 1471902 1962536 2453170 2943804 3679755 4906340 5887608 7359510 9812680 14719020 29438040