Search a number
-
+
34397430150 = 2352415355217
BaseRepresentation
bin100000000010001111…
…110010000110000110
310021210012211111111110
4200002033302012012
51030421220231100
623445120145450
72325254221626
oct400217620606
9107705744443
1034397430150
11136514a8426
1267bb768286
133322438485
141944494886
15d64c06250
hex8023f2186

34397430150 has 48 divisors (see below), whose sum is σ = 85327712784. Its totient is φ = 9170273280.

The previous prime is 34397430139. The next prime is 34397430167. The reversal of 34397430150 is 5103479343.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34397430099 and 34397430108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595342 + ... + 650558.

It is an arithmetic number, because the mean of its divisors is an integer number (1777660683).

Almost surely, 234397430150 is an apocalyptic number.

34397430150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34397430150 is an abundant number, since it is smaller than the sum of its proper divisors (50930282634).

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

34397430150 is a wasteful number, since it uses less digits than its factorization.

34397430150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59385 (or 59380 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 34397430150 in words is "thirty-four billion, three hundred ninety-seven million, four hundred thirty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 4153 8306 12459 20765 24918 41530 55217 62295 103825 110434 124590 165651 207650 276085 311475 331302 552170 622950 828255 1380425 1656510 2760850 4141275 8282550 229316201 458632402 687948603 1146581005 1375897206 2293162010 3439743015 5732905025 6879486030 11465810050 17198715075 34397430150