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334365045 = 35741101769
BaseRepresentation
bin10011111011100…
…000000101110101
3212022011111121120
4103323200011311
51141044140140
653102334153
711200025130
oct2373400565
9768144546
10334365045
11161816453
1293b8a359
1354370851
143259b217
151e54b1d0
hex13ee0175

334365045 has 64 divisors (see below), whose sum is σ = 633346560. Its totient is φ = 147456000.

The previous prime is 334365043. The next prime is 334365091. The reversal of 334365045 is 540563433.

334365045 = 2702 + 2712 + ... + 10072.

It is not a de Polignac number, because 334365045 - 21 = 334365043 is a prime.

It is a super-2 number, since 2×3343650452 = 223599966635704050, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 334364997 and 334365015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334365043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434421 + ... + 435189.

It is an arithmetic number, because the mean of its divisors is an integer number (9896040).

Almost surely, 2334365045 is an apocalyptic number.

334365045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

334365045 is a deficient number, since it is larger than the sum of its proper divisors (298981515).

334365045 is a wasteful number, since it uses less digits than its factorization.

334365045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926.

The product of its (nonzero) digits is 64800, while the sum is 33.

The square root of 334365045 is about 18285.6513419676. The cubic root of 334365045 is about 694.0758864992.

The spelling of 334365045 in words is "three hundred thirty-four million, three hundred sixty-five thousand, forty-five".

Divisors: 1 3 5 7 15 21 35 41 101 105 123 205 287 303 505 615 707 769 861 1435 1515 2121 2307 3535 3845 4141 4305 5383 10605 11535 12423 16149 20705 26915 28987 31529 62115 77669 80745 86961 94587 144935 157645 220703 233007 388345 434805 472935 543683 662109 1103515 1165035 1631049 2718415 3184429 3310545 8155245 9553287 15922145 22291003 47766435 66873009 111455015 334365045