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345751840 = 2557244101
BaseRepresentation
bin10100100110111…
…100000100100000
3220002121000100201
4110212330010200
51202003024330
654150354544
711365561600
oct2446740440
9802530321
10345751840
11168193525
129795ba54
13568296b5
1433cc2c00
1520549eca
hex149bc120

345751840 has 72 divisors (see below), whose sum is σ = 950221692. Its totient is φ = 118540800.

The previous prime is 345751789. The next prime is 345751849. The reversal of 345751840 is 48157543.

It can be written as a sum of positive squares in 2 ways, for example, as 312158224 + 33593616 = 17668^2 + 5796^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 345751840.

It is not an unprimeable number, because it can be changed into a prime (345751849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14211 + ... + 29890.

Almost surely, 2345751840 is an apocalyptic number.

It is an amenable number.

345751840 is an abundant number, since it is smaller than the sum of its proper divisors (604469852).

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

345751840 is a wasteful number, since it uses less digits than its factorization.

345751840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44130 (or 44115 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 345751840 is about 18594.4034591056. The cubic root of 345751840 is about 701.8670159321.

The spelling of 345751840 in words is "three hundred forty-five million, seven hundred fifty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 44101 88202 176404 220505 308707 352808 441010 617414 705616 882020 1234828 1411232 1543535 1764040 2160949 2469656 3087070 3528080 4321898 4939312 6174140 7056160 8643796 9878624 10804745 12348280 17287592 21609490 24696560 34575184 43218980 49393120 69150368 86437960 172875920 345751840