Search a number
-
+
398705040 = 24325553757
BaseRepresentation
bin10111110000111…
…100000110010000
31000210020022111100
4113300330012100
51304032030130
6103321344400
712610636236
oct2760740620
91023208440
10398705040
11195070aa8
12b1638100
13647aa056
143ad48956
1525009c60
hex17c3c190

398705040 has 60 divisors (see below), whose sum is σ = 1338986844. Its totient is φ = 106321152.

The previous prime is 398705011. The next prime is 398705053. The reversal of 398705040 is 40507893.

It can be written as a sum of positive squares in 2 ways, for example, as 204604416 + 194100624 = 14304^2 + 13932^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 398704986 and 398705004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276159 + ... + 277598.

Almost surely, 2398705040 is an apocalyptic number.

398705040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398705040 is an abundant number, since it is smaller than the sum of its proper divisors (940281804).

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

398705040 is a wasteful number, since it uses less digits than its factorization.

398705040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553776 (or 553767 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 398705040 is about 19967.5997556041. The cubic root of 398705040 is about 736.0103279112.

The spelling of 398705040 in words is "three hundred ninety-eight million, seven hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 553757 1107514 1661271 2215028 2768785 3322542 4430056 4983813 5537570 6645084 8306355 8860112 9967626 11075140 13290168 16612710 19935252 22150280 24919065 26580336 33225420 39870504 44300560 49838130 66450840 79741008 99676260 132901680 199352520 398705040