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340358553664 = 2617312829553
BaseRepresentation
bin1001111001111101111…
…00110110000001000000
31012112112011122222101221
410330332330312001000
521034023242204124
6420205241004424
733406254654163
oct4747674660100
91175464588357
10340358553664
11121388591a88
1255b69483714
13261322707ac
141268b1a5ada
158cc08bdce4
hex4f3ef36040

340358553664 has 28 divisors (see below), whose sum is σ = 715128360444. Its totient is φ = 160168730624.

The previous prime is 340358553649. The next prime is 340358553683. The reversal of 340358553664 is 466355853043.

It can be written as a sum of positive squares in 2 ways, for example, as 243009561600 + 97348992064 = 492960^2 + 312008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156413689 + ... + 156415864.

Almost surely, 2340358553664 is an apocalyptic number.

340358553664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

340358553664 is an abundant number, since it is smaller than the sum of its proper divisors (374769806780).

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

340358553664 is a wasteful number, since it uses less digits than its factorization.

340358553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312829582 (or 312829572 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 52.

The spelling of 340358553664 in words is "three hundred forty billion, three hundred fifty-eight million, five hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 312829553 625659106 1251318212 2502636424 5005272848 5318102401 10010545696 10636204802 20021091392 21272409604 42544819208 85089638416 170179276832 340358553664