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340655742 = 23272794889
BaseRepresentation
bin10100010011011…
…111111001111110
3212202000002211100
4110103133321332
51144201440432
653445233530
711304345300
oct2423377176
9782002740
10340655742
11165322779
12961028a6
1355763c5b
1433357970
151ed9007c
hex144dfe7e

340655742 has 72 divisors (see below), whose sum is σ = 869637600. Its totient is φ = 96078528.

The previous prime is 340655717. The next prime is 340655767. The reversal of 340655742 is 247556043.

It is an interprime number because it is at equal distance from previous prime (340655717) and next prime (340655767).

It is a junction number, because it is equal to n+sod(n) for n = 340655697 and 340655706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67234 + ... + 72122.

It is an arithmetic number, because the mean of its divisors is an integer number (12078300).

Almost surely, 2340655742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340655742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434818800).

340655742 is an abundant number, since it is smaller than the sum of its proper divisors (528981858).

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

340655742 is a wasteful number, since it uses less digits than its factorization.

340655742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 340655742 is about 18456.8616508875. The cubic root of 340655742 is about 698.4016197024.

The spelling of 340655742 in words is "three hundred forty million, six hundred fifty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 79 98 126 147 158 237 294 441 474 553 711 882 1106 1422 1659 3318 3871 4889 4977 7742 9778 9954 11613 14667 23226 29334 34223 34839 44001 68446 69678 88002 102669 205338 239561 308007 386231 479122 616014 718683 772462 1158693 1437366 2156049 2317386 2703617 3476079 4312098 5407234 6952158 8110851 16221702 18925319 24332553 37850638 48665106 56775957 113551914 170327871 340655742