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29734672 = 2411433929
BaseRepresentation
bin111000101101…
…1011100010000
32001221200022011
41301123130100
530103002142
62541152304
7510512002
oct161333420
961850264
1029734672
111586a110
129b5b694
1362112a6
143d40372
152925417
hex1c5b710

29734672 has 40 divisors (see below), whose sum is σ = 64326240. Its totient is φ = 13198080.

The previous prime is 29734669. The next prime is 29734681. The reversal of 29734672 is 27643792.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5604 + ... + 9532.

It is an arithmetic number, because the mean of its divisors is an integer number (1608156).

Almost surely, 229734672 is an apocalyptic number.

29734672 is a gapful number since it is divisible by the number (22) 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 29734672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32163120).

29734672 is an abundant number, since it is smaller than the sum of its proper divisors (34591568).

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

29734672 is a wasteful number, since it uses less digits than its factorization.

29734672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3985 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The square root of 29734672 is about 5452.9507608267. The cubic root of 29734672 is about 309.8044969182.

It can be divided in two parts, 297 and 34672, that added together give a square (34969 = 1872).

The spelling of 29734672 in words is "twenty-nine million, seven hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1892 3784 3929 7568 7858 15716 31432 43219 62864 86438 168947 172876 337894 345752 675788 691504 1351576 1858417 2703152 3716834 7433668 14867336 29734672