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240698340 = 223258316111
BaseRepresentation
bin11100101100011…
…00001111100100
3121202220202001100
432112030033210
5443104321330
635515000100
75651621301
oct1626141744
9552822040
10240698340
11113960253
1268739030
133ab3696c
1423d780a8
15161e8060
hexe58c3e4

240698340 has 72 divisors (see below), whose sum is σ = 738960768. Its totient is φ = 63408960.

The previous prime is 240698329. The next prime is 240698369. The reversal of 240698340 is 43896042.

It is a happy number.

240698340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 240698295 and 240698304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6885 + ... + 22995.

It is an arithmetic number, because the mean of its divisors is an integer number (10263344).

Almost surely, 2240698340 is an apocalyptic number.

240698340 is a gapful number since it is divisible by the number (20) 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 240698340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369480384).

240698340 is an abundant number, since it is smaller than the sum of its proper divisors (498262428).

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

240698340 is a wasteful number, since it uses less digits than its factorization.

240698340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16209 (or 16204 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 240698340 is about 15514.4558396355. The cubic root of 240698340 is about 622.0486688344.

The spelling of 240698340 in words is "two hundred forty million, six hundred ninety-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 14940 16111 32222 48333 64444 80555 96666 144999 161110 193332 241665 289998 322220 483330 579996 724995 966660 1337213 1449990 2674426 2899980 4011639 5348852 6686065 8023278 12034917 13372130 16046556 20058195 24069834 26744260 40116390 48139668 60174585 80232780 120349170 240698340