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340472304 = 2432791732
BaseRepresentation
bin10100010010110…
…011000111110000
3212201122210012100
4110102303013300
51144130103204
653441300400
711302652424
oct2422630760
9781583170
10340472304
11165207977
1296034700
13556cb603
143330ab84
151ed55a39
hex144b31f0

340472304 has 90 divisors (see below), whose sum is σ = 970520720. Its totient is φ = 111406464.

The previous prime is 340472273. The next prime is 340472309. The reversal of 340472304 is 403274043.

It is a super-4 number, since 4×3404723044 (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340472309) 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 17 ways as a sum of consecutive naturals, for example, 1967962 + ... + 1968134.

Almost surely, 2340472304 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 340472304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485260360).

340472304 is an abundant number, since it is smaller than the sum of its proper divisors (630048416).

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

340472304 is a wasteful number, since it uses less digits than its factorization.

340472304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 340472304 is about 18451.8916103472. The cubic root of 340472304 is about 698.2762376004.

The spelling of 340472304 in words is "three hundred forty million, four hundred seventy-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 173 237 316 346 474 519 632 692 711 948 1038 1264 1384 1422 1557 1896 2076 2768 2844 3114 3792 4152 5688 6228 8304 11376 12456 13667 24912 27334 29929 41001 54668 59858 82002 89787 109336 119716 123003 164004 179574 218672 239432 246006 269361 328008 359148 478864 492012 538722 656016 718296 984024 1077444 1436592 1968048 2154888 2364391 4309776 4728782 7093173 9457564 14186346 18915128 21279519 28372692 37830256 42559038 56745384 85118076 113490768 170236152 340472304