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307956420 = 223251710869
BaseRepresentation
bin10010010110110…
…000101011000100
3210110110210210100
4102112300223010
51112314101140
650320324100
710426405062
oct2226605304
9713423710
10307956420
11148919242
1287173630
134ba55445
142cc85032
151c081530
hex125b0ac4

307956420 has 36 divisors (see below), whose sum is σ = 934135020. Its totient is φ = 82121664.

The previous prime is 307956401. The next prime is 307956421. The reversal of 307956420 is 24659703.

307956420 is a `hidden beast` number, since 3 + 0 + 7 + 9 + 5 + 642 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 178543044 + 129413376 = 13362^2 + 11376^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (307956421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 855255 + ... + 855614.

It is an arithmetic number, because the mean of its divisors is an integer number (25948195).

Almost surely, 2307956420 is an apocalyptic number.

307956420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

307956420 is an abundant number, since it is smaller than the sum of its proper divisors (626178600).

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

307956420 is a wasteful number, since it uses less digits than its factorization.

307956420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710884 (or 1710879 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 307956420 is about 17548.6871303810. The cubic root of 307956420 is about 675.2994885005.

The spelling of 307956420 in words is "three hundred seven million, nine hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1710869 3421738 5132607 6843476 8554345 10265214 15397821 17108690 20530428 25663035 30795642 34217380 51326070 61591284 76989105 102652140 153978210 307956420