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350839840 = 25513168673
BaseRepresentation
bin10100111010010…
…110010000100000
3220110011111210011
4110322112100200
51204303333330
654451414304
711460042451
oct2472262040
9813144704
10350839840
1117004918a
12995b4394
13578bb550
1434849128
1520c0282a
hex14e96420

350839840 has 48 divisors (see below), whose sum is σ = 892622808. Its totient is φ = 129540096.

The previous prime is 350839831. The next prime is 350839849. The reversal of 350839840 is 48938053.

It is an interprime number because it is at equal distance from previous prime (350839831) and next prime (350839849).

It can be written as a sum of positive squares in 4 ways, for example, as 302342544 + 48497296 = 17388^2 + 6964^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 350839793 and 350839802.

It is not an unprimeable number, because it can be changed into a prime (350839849) 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 7 ways as a sum of consecutive naturals, for example, 82257 + ... + 86416.

Almost surely, 2350839840 is an apocalyptic number.

It is an amenable number.

350839840 is an abundant number, since it is smaller than the sum of its proper divisors (541782968).

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

350839840 is a wasteful number, since it uses less digits than its factorization.

350839840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168701 (or 168693 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 350839840 is about 18730.7191533054. The cubic root of 350839840 is about 705.2930994624.

The spelling of 350839840 in words is "three hundred fifty million, eight hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 168673 337346 674692 843365 1349384 1686730 2192749 2698768 3373460 4385498 5397536 6746920 8770996 10963745 13493840 17541992 21927490 26987680 35083984 43854980 70167968 87709960 175419920 350839840