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340402304 = 2711419577
BaseRepresentation
bin10100010010100…
…010000010000000
3212201112020011202
4110102202002000
51144120333204
653440000332
711302241354
oct2422420200
9781466152
10340402304
1116516a320
12960000a8
13556a57a8
14332cd464
151ed3ee1e
hex144a2080

340402304 has 64 divisors (see below), whose sum is σ = 742845600. Its totient is φ = 154091520.

The previous prime is 340402273. The next prime is 340402327. The reversal of 340402304 is 403204043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×3404023043 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 589664 + ... + 590240.

Almost surely, 2340402304 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 340402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371422800).

340402304 is an abundant number, since it is smaller than the sum of its proper divisors (402443296).

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

340402304 is a wasteful number, since it uses less digits than its factorization.

340402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 340402304 is about 18449.9946883461. The cubic root of 340402304 is about 698.2283798782.

Adding to 340402304 its reverse (403204043), we get a palindrome (743606347).

The spelling of 340402304 in words is "three hundred forty million, four hundred two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 419 577 704 838 1154 1408 1676 2308 3352 4609 4616 6347 6704 9218 9232 12694 13408 18436 18464 25388 26816 36872 36928 50776 53632 73744 73856 101552 147488 203104 241763 294976 406208 483526 589952 812416 967052 1934104 2659393 3868208 5318786 7736416 10637572 15472832 21275144 30945664 42550288 85100576 170201152 340402304