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343654040 = 235231073491
BaseRepresentation
bin10100011110111…
…011111010011000
3212221122102201102
4110132323322120
51200433412130
654033410532
711342003552
oct2436737230
9787572642
10343654040
11166a90404
1297109a48
13562738b2
14338d84d2
1520283645
hex147bbe98

343654040 has 64 divisors (see below), whose sum is σ = 814613760. Its totient is φ = 130218880.

The previous prime is 343654033. The next prime is 343654043. The reversal of 343654040 is 40456343.

It is a junction number, because it is equal to n+sod(n) for n = 343653994 and 343654012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343654043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96695 + ... + 100185.

It is an arithmetic number, because the mean of its divisors is an integer number (12728340).

Almost surely, 2343654040 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 343654040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407306880).

343654040 is an abundant number, since it is smaller than the sum of its proper divisors (470959720).

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

343654040 is a wasteful number, since it uses less digits than its factorization.

343654040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 343654040 is about 18537.9081883583. The cubic root of 343654040 is about 700.4446426715. Note that the first 3 decimals are identical.

The spelling of 343654040 in words is "three hundred forty-three million, six hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 107 115 184 214 230 428 460 535 856 920 1070 2140 2461 3491 4280 4922 6982 9844 12305 13964 17455 19688 24610 27928 34910 49220 69820 80293 98440 139640 160586 321172 373537 401465 642344 747074 802930 1494148 1605860 1867685 2988296 3211720 3735370 7470740 8591351 14941480 17182702 34365404 42956755 68730808 85913510 171827020 343654040