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764631340 = 2251161227251
BaseRepresentation
bin101101100100110…
…101100100101100
31222021210022000021
4231210311210230
53031221200330
6203512411524
724643154614
oct5544654454
91867708007
10764631340
11362683930
121940a6ba4
13c254b3a5
147379da44
15471dc67a
hex2d93592c

764631340 has 96 divisors (see below), whose sum is σ = 1795385088. Its totient is φ = 271200000.

The previous prime is 764631331. The next prime is 764631341. The reversal of 764631340 is 43136467.

764631340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7646313402 = 1169322172220391200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 764631296 and 764631305.

It is not an unprimeable number, because it can be changed into a prime (764631341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3046215 + ... + 3046465.

It is an arithmetic number, because the mean of its divisors is an integer number (18701928).

Almost surely, 2764631340 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 764631340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897692544).

764631340 is an abundant number, since it is smaller than the sum of its proper divisors (1030753748).

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

764631340 is a wasteful number, since it uses less digits than its factorization.

764631340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 764631340 is about 27651.9681035546. The cubic root of 764631340 is about 914.4304895600.

The spelling of 764631340 in words is "seven hundred sixty-four million, six hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 227 244 251 305 454 502 610 671 908 1004 1135 1220 1255 1342 2270 2497 2510 2684 2761 3355 4540 4994 5020 5522 6710 9988 11044 12485 13420 13805 13847 15311 24970 27610 27694 30622 49940 55220 55388 56977 61244 69235 76555 113954 138470 152317 153110 168421 227908 276940 284885 304634 306220 336842 569770 609268 626747 673684 761585 842105 1139540 1253494 1523170 1684210 2506988 3046340 3133735 3368420 3475597 6267470 6951194 12534940 13902388 17377985 34755970 38231567 69511940 76463134 152926268 191157835 382315670 764631340