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340529940 = 223351374603
BaseRepresentation
bin10100010011000…
…001001100010100
3212201202201021000
4110103001030110
51144133424230
653442423300
711303312442
oct2423011424
9781681230
10340529940
11165247203
1296061b30
135571b90a
1433323b92
151ed67b60
hex144c1314

340529940 has 96 divisors (see below), whose sum is σ = 1067391360. Its totient is φ = 90125568.

The previous prime is 340529939. The next prime is 340529953. The reversal of 340529940 is 49925043.

340529940 is a `hidden beast` number, since 3 + 40 + 529 + 94 + 0 = 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 = 340529895 and 340529904.

It is a congruent number.

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, 71679 + ... + 76281.

It is an arithmetic number, because the mean of its divisors is an integer number (11118660).

Almost surely, 2340529940 is an apocalyptic number.

340529940 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 340529940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533695680).

340529940 is an abundant number, since it is smaller than the sum of its proper divisors (726861420).

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

340529940 is a wasteful number, since it uses less digits than its factorization.

340529940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 340529940 is about 18453.4533353516. The cubic root of 340529940 is about 698.3156373578.

The spelling of 340529940 in words is "three hundred forty million, five hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 685 822 1233 1370 1644 2055 2466 2740 3699 4110 4603 4932 6165 7398 8220 9206 12330 13809 14796 18412 18495 23015 24660 27618 36990 41427 46030 55236 69045 73980 82854 92060 124281 138090 165708 207135 248562 276180 414270 497124 621405 630611 828540 1242810 1261222 1891833 2485620 2522444 3153055 3783666 5675499 6306110 7567332 9459165 11350998 12612220 17026497 18918330 22701996 28377495 34052994 37836660 56754990 68105988 85132485 113509980 170264970 340529940