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343620368 = 247132331331
BaseRepresentation
bin10100011110110…
…011101100010000
3212221120201112022
4110132303230100
51200431322433
654032551012
711341503440
oct2436635420
9787521468
10343620368
11166a68083
12970b2468
1356261480
14338ca120
1520278698
hex147b3b10

343620368 has 160 divisors (see below), whose sum is σ = 885276672. Its totient is φ = 125452800.

The previous prime is 343620341. The next prime is 343620383. The reversal of 343620368 is 863026343.

It is a Cunningham number, because it is equal to 185372-1.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037963 + ... + 1038293.

Almost surely, 2343620368 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 343620368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442638336).

343620368 is an abundant number, since it is smaller than the sum of its proper divisors (541656304).

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

343620368 is a wasteful number, since it uses less digits than its factorization.

With its successor (343620369) it forms an eRAP, since the sums of their prime factors are consecutive (413 and 414).

343620368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The square root of 343620368 is about 18536.9999730269. Note that the first 4 decimals coincide. The cubic root of 343620368 is about 700.4217648743.

The spelling of 343620368 in words is "three hundred forty-three million, six hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 31 46 52 56 62 91 92 104 112 124 161 182 184 208 217 248 299 322 331 364 368 403 434 496 598 644 662 713 728 806 868 1196 1288 1324 1426 1456 1612 1736 2093 2317 2392 2576 2648 2821 2852 3224 3472 4186 4303 4634 4784 4991 5296 5642 5704 6448 7613 8372 8606 9268 9269 9982 10261 11284 11408 15226 16744 17212 18536 18538 19964 20522 22568 30121 30452 33488 34424 37072 37076 39928 41044 45136 53291 60242 60904 64883 68848 71827 74152 79856 82088 98969 106582 120484 121808 129766 133393 143654 148304 164176 197938 213164 236003 240968 259532 266786 287308 395876 426328 472006 481936 519064 533572 574616 692783 791752 852656 933751 944012 1038128 1067144 1149232 1385566 1583504 1652021 1867502 1888024 2134288 2771132 3068039 3304042 3735004 3776048 5542264 6136078 6608084 7470008 11084528 12272156 13216168 14940016 21476273 24544312 26432336 42952546 49088624 85905092 171810184 343620368