Search a number
-
+
629307396 = 22323721132
BaseRepresentation
bin100101100000100…
…111100000000100
31121212011010110100
4211200213200010
52242100314041
6142240124100
721411011304
oct4540474004
91555133410
10629307396
112a3255a63
12156906630
13a04ba553
145d815604
153a3ab6b6
hex25827804

629307396 has 81 divisors (see below), whose sum is σ = 1649500671. Its totient is φ = 202293504.

The previous prime is 629307391. The next prime is 629307407. The reversal of 629307396 is 693703926.

The square root of 629307396 is 25086.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24147396 + 605160000 = 4914^2 + 24600^2 .

It is not an unprimeable number, because it can be changed into a prime (629307391) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5569036 + ... + 5569148.

Almost surely, 2629307396 is an apocalyptic number.

629307396 is the 25086-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629307396

629307396 is an abundant number, since it is smaller than the sum of its proper divisors (1020193275).

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

629307396 is a wasteful number, since it uses less digits than its factorization.

629307396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The cubic root of 629307396 is about 856.9476232963.

It can be divided in two parts, 629 and 307396, that added together give a square (308025 = 5552).

The spelling of 629307396 in words is "six hundred twenty-nine million, three hundred seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 113 148 222 226 333 339 444 452 666 678 1017 1332 1356 1369 2034 2738 4068 4107 4181 5476 8214 8362 12321 12543 12769 16428 16724 24642 25086 25538 37629 38307 49284 50172 51076 75258 76614 114921 150516 153228 154697 229842 309394 459684 464091 472453 618788 928182 944906 1392273 1417359 1856364 1889812 2784546 2834718 4252077 5569092 5669436 8504154 17008308 17480761 34961522 52442283 69923044 104884566 157326849 209769132 314653698 629307396