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343451020 = 225113742193
BaseRepresentation
bin10100011110001…
…010010110001100
3212221021010020011
4110132022112030
51200410413040
654025203004
711340166633
oct2436122614
9787233204
10343451020
11166961920
1297030464
1356202373
143388451a
15202433ea
hex1478a58c

343451020 has 48 divisors (see below), whose sum is σ = 808099488. Its totient is φ = 121512960.

The previous prime is 343450981. The next prime is 343451021. The reversal of 343451020 is 20154343.

343451020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 343450982 and 343451000.

It is not an unprimeable number, because it can be changed into a prime (343451021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12957 + ... + 29236.

It is an arithmetic number, because the mean of its divisors is an integer number (16835406).

Almost surely, 2343451020 is an apocalyptic number.

It is an amenable number.

343451020 is an abundant number, since it is smaller than the sum of its proper divisors (464648468).

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

343451020 is a wasteful number, since it uses less digits than its factorization.

343451020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42250 (or 42248 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 343451020 is about 18532.4315727861. The cubic root of 343451020 is about 700.3066819443.

The spelling of 343451020 in words is "three hundred forty-three million, four hundred fifty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 8140 42193 84386 168772 210965 421930 464123 843860 928246 1561141 1856492 2320615 3122282 4641230 6244564 7805705 9282460 15611410 17172551 31222820 34345102 68690204 85862755 171725510 343451020