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1344952 = 23724773
BaseRepresentation
bin101001000010110111000
32112022221001
411020112320
5321014302
644454344
714301100
oct5102670
92468831
101344952
11839534
1254a3b4
1338123b
14270200
151b8787
hex1485b8

1344952 has 48 divisors (see below), whose sum is σ = 3036960. Its totient is φ = 556416.

The previous prime is 1344949. The next prime is 1344979. The reversal of 1344952 is 2594431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 1 + 36 + 49 + 410 + 93 + 5 + 215 .

It is a self number, because there is not a number n which added to its sum of digits gives 1344952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18388 + ... + 18460.

It is an arithmetic number, because the mean of its divisors is an integer number (63270).

21344952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518480).

1344952 is an abundant number, since it is smaller than the sum of its proper divisors (1692008).

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

1344952 is a wasteful number, since it uses less digits than its factorization.

1344952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 1344952 is about 1159.7206560202. The cubic root of 1344952 is about 110.3830174115.

The spelling of 1344952 in words is "one million, three hundred forty-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 47 49 56 73 94 98 146 188 196 292 329 376 392 511 584 658 1022 1316 2044 2303 2632 3431 3577 4088 4606 6862 7154 9212 13724 14308 18424 24017 27448 28616 48034 96068 168119 192136 336238 672476 1344952