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340103764 = 2271113292101
BaseRepresentation
bin10100010001011…
…001001001010100
3212200222001122201
4110101121021110
51144031310024
653425334244
711266556110
oct2421311124
9780861581
10340103764
11164a85aa0
1295a97384
13555cc940
1433252740
151ecd1744
hex14459254

340103764 has 144 divisors (see below), whose sum is σ = 835825536. Its totient is φ = 116928000.

The previous prime is 340103761. The next prime is 340103773. The reversal of 340103764 is 467301043.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340103761) 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, 3367314 + ... + 3367414.

It is an arithmetic number, because the mean of its divisors is an integer number (5804344).

Almost surely, 2340103764 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 340103764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417912768).

340103764 is an abundant number, since it is smaller than the sum of its proper divisors (495721772).

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

340103764 is a wasteful number, since it uses less digits than its factorization.

340103764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 340103764 is about 18441.9023964449. The cubic root of 340103764 is about 698.0241998380.

The spelling of 340103764 in words is "three hundred forty million, one hundred three thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 29 44 52 58 77 91 101 116 143 154 182 202 203 286 308 319 364 377 404 406 572 638 707 754 812 841 1001 1111 1276 1313 1414 1508 1682 2002 2222 2233 2626 2639 2828 2929 3364 4004 4147 4444 4466 5252 5278 5858 5887 7777 8294 8932 9191 9251 10556 10933 11716 11774 14443 15554 16588 18382 18502 20503 21866 23548 28886 29029 31108 32219 36764 37004 38077 41006 43732 57772 58058 64438 64757 76154 76531 82012 84941 101101 116116 120263 128876 129514 152308 153062 169882 202202 225533 240526 259028 266539 306124 339764 404404 418847 451066 481052 533078 594587 837694 841841 902132 934351 1066156 1104233 1189174 1675388 1683682 1868702 2208466 2378348 2931929 3367364 3737404 4416932 5863858 6540457 7729631 11727716 12146563 13080914 15459262 24293126 26161828 30918524 48586252 85025941 170051882 340103764