Search a number
-
+
781030368 = 25323187481
BaseRepresentation
bin101110100011011…
…001001111100000
32000102122110020200
4232203121033200
53044420432433
6205300105200
725232435316
oct5643311740
92012573220
10781030368
11370964748
12199695200
13c5a70761
1475a2c0b6
154887b613
hex2e8d93e0

781030368 has 72 divisors (see below), whose sum is σ = 2292728256. Its totient is φ = 251942400.

The previous prime is 781030351. The next prime is 781030379. The reversal of 781030368 is 863030187.

781030368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7810303682 = 1220016871476430848, which contains 22 as substring.

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

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, 34813 + ... + 52668.

It is an arithmetic number, because the mean of its divisors is an integer number (31843448).

Almost surely, 2781030368 is an apocalyptic number.

It is an amenable number.

781030368 is an abundant number, since it is smaller than the sum of its proper divisors (1511697888).

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

781030368 is a wasteful number, since it uses less digits than its factorization.

781030368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87528 (or 87517 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 781030368 is about 27946.9205459206. The cubic root of 781030368 is about 920.9215592424.

The spelling of 781030368 in words is "seven hundred eighty-one million, thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 87481 174962 262443 349924 524886 699848 787329 1049772 1399696 1574658 2099544 2711911 2799392 3149316 4199088 5423822 6298632 8135733 8398176 10847644 12597264 16271466 21695288 24407199 25194528 32542932 43390576 48814398 65085864 86781152 97628796 130171728 195257592 260343456 390515184 781030368