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340514328 = 233721122393
BaseRepresentation
bin10100010010111…
…101011000011000
3212201201220211210
4110102331120120
51144132424303
653442223120
711303216100
oct2422753030
9781656753
10340514328
11165236500
1296054aa0
135571478b
143331c200
151ed63203
hex144bd618

340514328 has 144 divisors (see below), whose sum is σ = 1088934840. Its totient is φ = 88408320.

The previous prime is 340514327. The next prime is 340514341. The reversal of 340514328 is 823415043.

It is a junction number, because it is equal to n+sod(n) for n = 340514295 and 340514304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340514327) 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 35 ways as a sum of consecutive naturals, for example, 141100 + ... + 143492.

Almost surely, 2340514328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340514328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544467420).

340514328 is an abundant number, since it is smaller than the sum of its proper divisors (748420512).

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

340514328 is a wasteful number, since it uses less digits than its factorization.

340514328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 340514328 is about 18453.0303202482. The cubic root of 340514328 is about 698.3049654911.

The spelling of 340514328 in words is "three hundred forty million, five hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 121 132 147 154 168 196 231 242 264 294 308 363 392 462 484 539 588 616 726 847 924 968 1078 1176 1452 1617 1694 1848 2156 2393 2541 2904 3234 3388 4312 4786 5082 5929 6468 6776 7179 9572 10164 11858 12936 14358 16751 17787 19144 20328 23716 26323 28716 33502 35574 47432 50253 52646 57432 67004 71148 78969 100506 105292 117257 134008 142296 157938 184261 201012 210584 234514 289553 315876 351771 368522 402024 469028 552783 579106 631752 703542 737044 868659 938056 1105566 1158212 1289827 1407084 1474088 1737318 2026871 2211132 2316424 2579654 2814168 3474636 3869481 4053742 4422264 5159308 6080613 6949272 7738962 8107484 10318616 12161226 14188097 15477924 16214968 24322452 28376194 30955848 42564291 48644904 56752388 85128582 113504776 170257164 340514328