Search a number
-
+
3407086152 = 233422932
BaseRepresentation
bin1100101100010100…
…0000001001001000
322210110000220120000
43023011000021020
523434203224102
61322025403000
7150300516531
oct31305001110
98713026500
103407086152
111499236288
127b1039460
13423b37312
142446d3688
1514e1a701c
hexcb140248

3407086152 has 60 divisors (see below), whose sum is σ = 9547159545. Its totient is φ = 1135200096.

The previous prime is 3407086097. The next prime is 3407086153. The reversal of 3407086152 is 2516807043.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3407086152 is a `hidden beast` number, since 34 + 0 + 7 + 0 + 8 + 615 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3249684036 + 157402116 = 57006^2 + 12546^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=41274.

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 (3407086153) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1484718 + ... + 1487010.

Almost surely, 23407086152 is an apocalyptic number.

It is an amenable number.

3407086152 is an abundant number, since it is smaller than the sum of its proper divisors (6140073393).

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

3407086152 is an frugal number, since it uses more digits than its factorization.

3407086152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3407086152 is about 58370.2505733871. The cubic root of 3407086152 is about 1504.7385191948.

The spelling of 3407086152 in words is "three billion, four hundred seven million, eighty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 2293 4586 6879 9172 13758 18344 20637 27516 41274 55032 61911 82548 123822 165096 185733 247644 371466 495288 742932 1485864 5257849 10515698 15773547 21031396 31547094 42062792 47320641 63094188 94641282 126188376 141961923 189282564 283923846 378565128 425885769 567847692 851771538 1135695384 1703543076 3407086152