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214143345 = 3451389457
BaseRepresentation
bin11001100001110…
…01000101110001
3112220221121110000
430300321011301
5414310041340
633125500213
75210121423
oct1460710561
9486847400
10214143345
11aa973079
125b871669
1335499a50
1420624813
1513beed30
hexcc39171

214143345 has 80 divisors (see below), whose sum is σ = 418960080. Its totient is φ = 104011776.

The previous prime is 214143329. The next prime is 214143353. The reversal of 214143345 is 543341412.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10909809 + 203233536 = 3303^2 + 14256^2 .

It is not a de Polignac number, because 214143345 - 24 = 214143329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

214143345 is a Rhonda number in base 10.

Its product of digits (5760) is a multiple of the sum of its prime factors (576).

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 79 ways as a sum of consecutive naturals, for example, 468357 + ... + 468813.

It is an arithmetic number, because the mean of its divisors is an integer number (5237001).

Almost surely, 2214143345 is an apocalyptic number.

It is an amenable number.

214143345 is a deficient number, since it is larger than the sum of its proper divisors (204816735).

214143345 is a wasteful number, since it uses less digits than its factorization.

214143345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 214143345 is about 14633.6374493835. The cubic root of 214143345 is about 598.2759256914.

Adding to 214143345 its reverse (543341412), we get a palindrome (757484757).

The spelling of 214143345 in words is "two hundred fourteen million, one hundred forty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 89 117 135 195 267 351 405 445 457 585 801 1053 1157 1335 1371 1755 2285 2403 3471 4005 4113 5265 5785 5941 6855 7209 10413 12015 12339 17355 17823 20565 29705 31239 36045 37017 40673 52065 53469 61695 89115 93717 122019 156195 160407 185085 203365 267345 366057 468585 481221 528749 610095 802035 1098171 1586247 1830285 2406105 2643745 3294513 4758741 5490855 7931235 14276223 16472565 23793705 42828669 71381115 214143345