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343667064 = 233137379191
BaseRepresentation
bin10100011110111…
…111000101111000
3212221200002120210
4110132333011320
51200434321224
654033551120
711342056536
oct2436770570
9787602523
10343667064
11166a9a174
12971154a0
13562797c0
14338dd156
1520287429
hex147bf178

343667064 has 128 divisors (see below), whose sum is σ = 954777600. Its totient is φ = 102435840.

The previous prime is 343667021. The next prime is 343667069. The reversal of 343667064 is 460766343.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343667069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1799209 + ... + 1799399.

It is an arithmetic number, because the mean of its divisors is an integer number (7459200).

Almost surely, 2343667064 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 343667064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477388800).

343667064 is an abundant number, since it is smaller than the sum of its proper divisors (611110536).

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

343667064 is a wasteful number, since it uses less digits than its factorization.

343667064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The square root of 343667064 is about 18538.2594652249. The cubic root of 343667064 is about 700.4534911788.

It can be divided in two parts, 3436 and 67064, that added together give a triangular number (70500 = T375).

The spelling of 343667064 in words is "three hundred forty-three million, six hundred sixty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 79 104 146 156 158 191 219 237 292 312 316 382 438 474 573 584 632 764 876 948 949 1027 1146 1528 1752 1896 1898 2054 2292 2483 2847 3081 3796 4108 4584 4966 5694 5767 6162 7449 7592 8216 9932 11388 11534 12324 13943 14898 15089 17301 19864 22776 23068 24648 27886 29796 30178 34602 41829 45267 46136 55772 59592 60356 69204 74971 83658 90534 111544 120712 138408 149942 167316 181068 181259 196157 224913 299884 334632 362136 362518 392314 449826 543777 588471 599768 725036 784628 899652 1087554 1101497 1176942 1450072 1569256 1799304 2175108 2202994 2353884 3304491 4350216 4405988 4707768 6608982 8811976 13217964 14319461 26435928 28638922 42958383 57277844 85916766 114555688 171833532 343667064