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334106105445 = 32577173204641
BaseRepresentation
bin1001101110010100100…
…01101001011001100101
31011221101102120200212200
410313022101221121211
520433222130333240
6413253005205113
733065314016160
oct4671221513145
91157342520780
10334106105445
1111976a206102
1254903560799
1325676ab5ba8
1412256a40ad7
158a56a1b930
hex4dca469665

334106105445 has 96 divisors (see below), whose sum is σ = 680367527424. Its totient is φ = 148519526400.

The previous prime is 334106105429. The next prime is 334106105461. The reversal of 334106105445 is 544501601433.

334106105445 is a `hidden beast` number, since 3 + 3 + 4 + 106 + 1 + 0 + 544 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (334106105429) and next prime (334106105461).

It is not a de Polignac number, because 334106105445 - 24 = 334106105429 is a prime.

It is a super-2 number, since 2×3341061054452 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1530325 + ... + 1734965.

It is an arithmetic number, because the mean of its divisors is an integer number (7087161744).

Almost surely, 2334106105445 is an apocalyptic number.

334106105445 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

334106105445 is an abundant number, since it is smaller than the sum of its proper divisors (346261421979).

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

334106105445 is a wasteful number, since it uses less digits than its factorization.

334106105445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204803 (or 204800 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 334106105445 its reverse (544501601433), we get a palindrome (878607706878).

The spelling of 334106105445 in words is "three hundred thirty-four billion, one hundred six million, one hundred five thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 71 73 105 213 219 315 355 365 497 511 639 657 1065 1095 1491 1533 2485 2555 3195 3285 4473 4599 5183 7455 7665 15549 22365 22995 25915 36281 46647 77745 108843 181405 204641 233235 326529 544215 613923 1023205 1432487 1632645 1841769 3069615 4297461 7162435 9208845 12892383 14529511 14938793 21487305 43588533 44816379 64461915 72647555 74693965 101706577 104571551 130765599 134449137 217942665 224081895 305119731 313714653 508532885 522857755 653827995 672245685 915359193 941143959 1060654303 1525598655 1568573265 3181962909 4576795965 4705719795 5303271515 7424580121 9545888727 15909814545 22273740363 37122900605 47729443635 66821221089 111368701815 334106105445