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1234272 = 253132343
BaseRepresentation
bin100101101010101100000
32022201002210
410231111200
5303444042
642242120
713330314
oct4552540
92281083
101234272
11773366
124b6340
13342a50
14241b44
15195a9c
hex12d560

1234272 has 96 divisors (see below), whose sum is σ = 3725568. Its totient is φ = 354816.

The previous prime is 1234271. The next prime is 1234309. The reversal of 1234272 is 2724321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

Its product of digits (672) is a multiple of the sum of its prime divisors (84).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28683 + ... + 28725.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

21234272 is an apocalyptic number.

1234272 is a gapful number since it is divisible by the number (12) 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 1234272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862784).

1234272 is an abundant number, since it is smaller than the sum of its proper divisors (2491296).

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

1234272 is a wasteful number, since it uses less digits than its factorization.

1234272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 1234272 is about 1110.9779475759. The cubic root of 1234272 is about 107.2680269197.

Adding to 1234272 its reverse (2724321), we get a palindrome (3958593).

The spelling of 1234272 in words is "one million, two hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 43 46 48 52 69 78 86 92 96 104 129 138 156 172 184 208 258 276 299 312 344 368 416 516 552 559 598 624 688 736 897 989 1032 1104 1118 1196 1248 1376 1677 1794 1978 2064 2208 2236 2392 2967 3354 3588 3956 4128 4472 4784 5934 6708 7176 7912 8944 9568 11868 12857 13416 14352 15824 17888 23736 25714 26832 28704 31648 38571 47472 51428 53664 77142 94944 102856 154284 205712 308568 411424 617136 1234272