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345005514 = 233717531013
BaseRepresentation
bin10100100100000…
…101110111001010
3220001012002121000
4110210011313022
51201310134024
654122355430
711356332660
oct2444056712
9801162530
10345005514
11167823827
129765bb76
1356627a99
1433b6ac30
152044dcc9
hex14905dca

345005514 has 128 divisors (see below), whose sum is σ = 946183680. Its totient is φ = 90934272.

The previous prime is 345005513. The next prime is 345005527. The reversal of 345005514 is 415500543.

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

It is not an unprimeable number, because it can be changed into a prime (345005513) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 340072 + ... + 341084.

It is an arithmetic number, because the mean of its divisors is an integer number (7392060).

Almost surely, 2345005514 is an apocalyptic number.

345005514 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345005514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473091840).

345005514 is an abundant number, since it is smaller than the sum of its proper divisors (601178166).

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

345005514 is a wasteful number, since it uses less digits than its factorization.

345005514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 345005514 is about 18574.3240523040. The cubic root of 345005514 is about 701.3616448397.

The spelling of 345005514 in words is "three hundred forty-five million, five thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 53 54 63 102 106 119 126 153 159 189 238 306 318 357 371 378 459 477 714 742 901 918 954 1013 1071 1113 1431 1802 2026 2142 2226 2703 2862 3039 3213 3339 5406 6078 6307 6426 6678 7091 8109 9117 10017 12614 14182 16218 17221 18234 18921 20034 21273 24327 27351 34442 37842 42546 48654 51663 53689 54702 56763 63819 103326 107378 113526 120547 127638 154989 161067 170289 191457 241094 309978 322134 340578 361641 375823 382914 464967 483201 723282 751646 912713 929934 966402 1084923 1127469 1449603 1825426 2169846 2254938 2738139 2899206 3254769 3382407 5476278 6388991 6509538 6764814 8214417 10147221 12777982 16428834 19166973 20294442 24643251 38333946 49286502 57500919 115001838 172502757 345005514