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2350354240 = 26513564989
BaseRepresentation
bin1000110000010111…
…1000111101000000
320001210121100220001
42030011320331000
514303142313430
61025120125344
7112146452503
oct21405707500
96053540801
102350354240
11aa6793a23
12557166854
132b5c25870
1418421913a
15db51b3ca
hex8c178f40

2350354240 has 56 divisors (see below), whose sum is σ = 6027313320. Its totient is φ = 867821568.

The previous prime is 2350354183. The next prime is 2350354277. The reversal of 2350354240 is 424530532.

It can be written as a sum of positive squares in 4 ways, for example, as 159365376 + 2190988864 = 12624^2 + 46808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2350354199 and 2350354208.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 278335 + ... + 286654.

It is an arithmetic number, because the mean of its divisors is an integer number (107630595).

Almost surely, 22350354240 is an apocalyptic number.

2350354240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2350354240 is an abundant number, since it is smaller than the sum of its proper divisors (3676959080).

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

2350354240 is a wasteful number, since it uses less digits than its factorization.

2350354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565019 (or 565009 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 2350354240 is about 48480.4521431061. The cubic root of 2350354240 is about 1329.5696951556.

Adding to 2350354240 its reverse (424530532), we get a palindrome (2774884772).

It can be divided in two parts, 2350 and 354240, that added together give a triangular number (356590 = T844).

The spelling of 2350354240 in words is "two billion, three hundred fifty million, three hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 564989 1129978 2259956 2824945 4519912 5649890 7344857 9039824 11299780 14689714 18079648 22599560 29379428 36159296 36724285 45199120 58758856 73448570 90398240 117517712 146897140 180796480 235035424 293794280 470070848 587588560 1175177120 2350354240