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340363604 = 227229233257
BaseRepresentation
bin10100010010011…
…000100101010100
3212201110021002102
4110102120211110
51144113113404
653435101232
711302020500
oct2422304524
9781407072
10340363604
11165143239
1295ba1818
1355690ca9
14332bd300
151ed3371e
hex14498954

340363604 has 72 divisors (see below), whose sum is σ = 722652840. Its totient is φ = 139689984.

The previous prime is 340363589. The next prime is 340363607. The reversal of 340363604 is 406363043.

340363604 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 101042704 + 239320900 = 10052^2 + 15470^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340363607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324244 + ... + 1324500.

It is an arithmetic number, because the mean of its divisors is an integer number (10036845).

Almost surely, 2340363604 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 340363604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361326420).

340363604 is an abundant number, since it is smaller than the sum of its proper divisors (382289236).

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

340363604 is a wasteful number, since it uses less digits than its factorization.

340363604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

The square root of 340363604 is about 18448.9458777460. The cubic root of 340363604 is about 698.2019185783.

The spelling of 340363604 in words is "three hundred forty million, three hundred sixty-three thousand, six hundred four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 233 257 406 466 514 812 932 1028 1421 1631 1799 2842 3262 3598 5684 6524 6757 7196 7453 11417 12593 13514 14906 22834 25186 27028 29812 45668 47299 50372 52171 59881 94598 104342 119762 189196 208684 239524 331093 365197 419167 662186 730394 838334 1324372 1460788 1676668 1736549 2934169 3473098 5868338 6946196 11736676 12155843 24311686 48623372 85090901 170181802 340363604