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3630426345 = 335713295517
BaseRepresentation
bin1101100001100011…
…1110100011101001
3100101000021202201000
43120120332203221
524413342120340
61400124345213
7155652054240
oct33030764351
910330252630
103630426345
1115a3310057
128539a5209
1345b1a4190
1426622d957
15163ac1d30
hexd863e8e9

3630426345 has 64 divisors (see below), whose sum is σ = 7943523840. Its totient is φ = 1531954944.

The previous prime is 3630426341. The next prime is 3630426367. The reversal of 3630426345 is 5436240363.

3630426345 is a `hidden beast` number, since 3 + 6 + 304 + 2 + 6 + 345 = 666.

It is not a de Polignac number, because 3630426345 - 22 = 3630426341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3630426341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135474 + ... + 160043.

It is an arithmetic number, because the mean of its divisors is an integer number (124117560).

Almost surely, 23630426345 is an apocalyptic number.

3630426345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3630426345 is an abundant number, since it is smaller than the sum of its proper divisors (4313097495).

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

3630426345 is a wasteful number, since it uses less digits than its factorization.

3630426345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295551 (or 295545 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 3630426345 is about 60253.0193849238. The cubic root of 3630426345 is about 1536.9245341915.

The spelling of 3630426345 in words is "three billion, six hundred thirty million, four hundred twenty-six thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 4095 12285 295517 886551 1477585 2068619 2659653 3841721 4432755 6205857 7978959 10343095 11525163 13298265 18617571 19208605 26892047 31029285 34575489 39894795 55852713 57625815 80676141 93087855 103726467 134460235 172877445 242028423 279263565 403380705 518632335 726085269 1210142115 3630426345