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340528356 = 2232773107173
BaseRepresentation
bin10100010011000…
…000110011100100
3212201202122002100
4110103000303210
51144133401411
653442412100
711303305020
oct2423006344
9781678070
10340528356
11165245aa3
1296061030
135571ac8c
1433323380
151ed67456
hex144c0ce4

340528356 has 144 divisors (see below), whose sum is σ = 1012362624. Its totient is φ = 94514688.

The previous prime is 340528351. The next prime is 340528367. The reversal of 340528356 is 653825043.

It is a happy number.

It is a super-2 number, since 2×3405283562 = 231919122480125472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 340528356.

It is not an unprimeable number, because it can be changed into a prime (340528351) 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 47 ways as a sum of consecutive naturals, for example, 1968286 + ... + 1968458.

It is an arithmetic number, because the mean of its divisors is an integer number (7030296).

Almost surely, 2340528356 is an apocalyptic number.

340528356 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 340528356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506181312).

340528356 is an abundant number, since it is smaller than the sum of its proper divisors (671834268).

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

340528356 is a wasteful number, since it uses less digits than its factorization.

340528356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 340528356 is about 18453.4104165057. The cubic root of 340528356 is about 698.3145546006.

The spelling of 340528356 in words is "three hundred forty million, five hundred twenty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 107 126 146 173 214 219 252 292 321 346 428 438 511 519 642 657 692 749 876 963 1022 1038 1211 1284 1314 1498 1533 1557 1926 2044 2076 2247 2422 2628 2996 3066 3114 3633 3852 4494 4599 4844 6132 6228 6741 7266 7811 8988 9198 10899 12629 13482 14532 15622 18396 18511 21798 23433 25258 26964 31244 37022 37887 43596 46866 50516 54677 55533 70299 74044 75774 88403 93732 109354 111066 113661 129577 140598 151548 164031 166599 176806 218708 222132 227322 259154 265209 281196 328062 333198 353612 388731 454644 492093 518308 530418 656124 666396 777462 795627 984186 1060836 1166193 1351303 1554924 1591254 1968372 2332386 2702606 3182508 4053909 4664772 5405212 8107818 9459121 12161727 16215636 18918242 24323454 28377363 37836484 48646908 56754726 85132089 113509452 170264178 340528356