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343685376 = 2833192617
BaseRepresentation
bin10100011111000…
…011100100000000
3212221201000201000
4110133003210000
51200440413001
654034212000
711342164116
oct2437034400
9787630630
10343685376
11167001a01
1297124000
1356284c38
1433905ab6
152028ca86
hex147c3900

343685376 has 144 divisors (see below), whose sum is σ = 1070238400. Its totient is φ = 108490752.

The previous prime is 343685371. The next prime is 343685383. The reversal of 343685376 is 673586343.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3436853762 = 236239275352522752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (343685371) 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 15 ways as a sum of consecutive naturals, for example, 130020 + ... + 132636.

Almost surely, 2343685376 is an apocalyptic number.

343685376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535119200).

343685376 is an abundant number, since it is smaller than the sum of its proper divisors (726553024).

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

343685376 is a wasteful number, since it uses less digits than its factorization.

343685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2641 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 343685376 is about 18538.7533561456. The cubic root of 343685376 is about 700.4659319758.

The spelling of 343685376 in words is "three hundred forty-three million, six hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2617 2736 3456 3648 4104 4864 5234 5472 6912 7296 7851 8208 10468 10944 14592 15702 16416 20936 21888 23553 31404 32832 41872 43776 47106 49723 62808 65664 70659 83744 94212 99446 125616 131328 141318 149169 167488 188424 198892 251232 282636 298338 334976 376848 397784 447507 502464 565272 596676 669952 753696 795568 895014 1004928 1130544 1193352 1342521 1507392 1591136 1790028 2009856 2261088 2386704 2685042 3014784 3182272 3580056 4522176 4773408 5370084 6029568 6364544 7160112 9044352 9546816 10740168 12729088 14320224 18088704 19093632 21480336 28640448 38187264 42960672 57280896 85921344 114561792 171842688 343685376