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395242704 = 24329972753
BaseRepresentation
bin10111100011101…
…110110011010000
31000112201102001200
4113203232303100
51302140231304
6103115231200
712536336043
oct2743566320
91015642050
10395242704
1119311676a
12b0448500
1363b6712c
143a6c6c5a
1524a73e39
hex178eecd0

395242704 has 60 divisors (see below), whose sum is σ = 1107642276. Its totient is φ = 131567616.

The previous prime is 395242697. The next prime is 395242721. The reversal of 395242704 is 407242593.

It can be written as a sum of positive squares in 2 ways, for example, as 354945600 + 40297104 = 18840^2 + 6348^2 .

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, 142192 + ... + 144944.

Almost surely, 2395242704 is an apocalyptic number.

It is an amenable number.

395242704 is an abundant number, since it is smaller than the sum of its proper divisors (712399572).

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

395242704 is a wasteful number, since it uses less digits than its factorization.

395242704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 395242704 is about 19880.7118584823. The cubic root of 395242704 is about 733.8736378137.

It can be divided in two parts, 3952 and 42704, that added together give a 6-th power (46656 = 66).

The spelling of 395242704 in words is "three hundred ninety-five million, two hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 997 1994 2753 2991 3988 5506 5982 7976 8259 8973 11012 11964 15952 16518 17946 22024 23928 24777 33036 35892 44048 47856 49554 66072 71784 99108 132144 143568 198216 396432 2744741 5489482 8234223 10978964 16468446 21957928 24702669 32936892 43915856 49405338 65873784 98810676 131747568 197621352 395242704