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340379640 = 233254720117
BaseRepresentation
bin10100010010011…
…100011111111000
3212201111002002100
4110102130133320
51144114122030
653435303400
711302115316
oct2422343770
9781432070
10340379640
11165154297
1295baab60
1355698393
14332c50b6
151ed38360
hex1449c7f8

340379640 has 96 divisors (see below), whose sum is σ = 1129826880. Its totient is φ = 88832256.

The previous prime is 340379639. The next prime is 340379647. The reversal of 340379640 is 46973043.

340379640 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 7 + 9 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 340379595 and 340379604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340379647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6862 + ... + 26978.

It is an arithmetic number, because the mean of its divisors is an integer number (11769030).

Almost surely, 2340379640 is an apocalyptic number.

340379640 is a gapful number since it is divisible by the number (30) 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 340379640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564913440).

340379640 is an abundant number, since it is smaller than the sum of its proper divisors (789447240).

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

340379640 is a wasteful number, since it uses less digits than its factorization.

340379640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20181 (or 20174 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 340379640 is about 18449.3804774036. The cubic root of 340379640 is about 698.2128835091.

The spelling of 340379640 in words is "three hundred forty million, three hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 8460 16920 20117 40234 60351 80468 100585 120702 160936 181053 201170 241404 301755 362106 402340 482808 603510 724212 804680 905265 945499 1207020 1448424 1810530 1890998 2414040 2836497 3621060 3781996 4727495 5672994 7242120 7563992 8509491 9454990 11345988 14182485 17018982 18909980 22691976 28364970 34037964 37819960 42547455 56729940 68075928 85094910 113459880 170189820 340379640