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307982052 = 223272237591
BaseRepresentation
bin10010010110110…
…110111011100100
3210110112002221200
4102112312323210
51112320411202
650321042500
710426542600
oct2226667344
9713462850
10307982052
11148936524
1287186430
134ba64001
142cc90500
151c088e1c
hex125b6ee4

307982052 has 108 divisors (see below), whose sum is σ = 945112896. Its totient is φ = 84157920.

The previous prime is 307982011. The next prime is 307982063. The reversal of 307982052 is 250289703.

It is a happy number.

307982052 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

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

307982052 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 307981998 and 307982016.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36777 + ... + 44367.

Almost surely, 2307982052 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 307982052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472556448).

307982052 is an abundant number, since it is smaller than the sum of its proper divisors (637130844).

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

307982052 is a wasteful number, since it uses less digits than its factorization.

307982052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7638 (or 7626 counting only the distinct ones).

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

The square root of 307982052 is about 17549.4174262281. The cubic root of 307982052 is about 675.3182236149.

The spelling of 307982052 in words is "three hundred seven million, nine hundred eighty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 414 441 483 588 644 828 882 966 1127 1449 1764 1932 2254 2898 3381 4508 5796 6762 7591 10143 13524 15182 20286 22773 30364 40572 45546 53137 68319 91092 106274 136638 159411 174593 212548 273276 318822 349186 371959 478233 523779 637644 698372 743918 956466 1047558 1115877 1222151 1487836 1571337 1912932 2095116 2231754 2444302 3142674 3347631 3666453 4463508 4888604 6285348 6695262 7332906 8555057 10999359 13390524 14665812 17110114 21998718 25665171 34220228 43997436 51330342 76995513 102660684 153991026 307982052