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2340001040 = 2451321710181
BaseRepresentation
bin1000101101111001…
…1001010100010000
320001002010100222012
42023132121110100
514243020013130
61024110202052
7111662452316
oct21336312420
96032110865
102340001040
11aa0962463
125537b3328
132b3a3c300
14182ac20b6
15da673995
hex8b799510

2340001040 has 120 divisors (see below), whose sum is σ = 6238348488. Its totient is φ = 813096960.

The previous prime is 2340001033. The next prime is 2340001043. The reversal of 2340001040 is 401000432.

It can be written as a sum of positive squares in 12 ways, for example, as 874030096 + 1465970944 = 29564^2 + 38288^2 .

It is not an unprimeable number, because it can be changed into a prime (2340001043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224750 + ... + 234930.

Almost surely, 22340001040 is an apocalyptic number.

2340001040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119174244).

2340001040 is an abundant number, since it is smaller than the sum of its proper divisors (3898347448).

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

2340001040 is a wasteful number, since it uses less digits than its factorization.

2340001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10237 (or 10218 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2340001040 is about 48373.5572394671. The cubic root of 2340001040 is about 1327.6145909454.

Adding to 2340001040 its reverse (401000432), we get a palindrome (2741001472).

It can be divided in two parts, 234000 and 1040, that multiplied together give a square (243360000 = 156002).

The spelling of 2340001040 in words is "two billion, three hundred forty million, one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 169 170 208 221 260 272 338 340 442 520 676 680 845 884 1040 1105 1352 1360 1690 1768 2210 2704 2873 3380 3536 4420 5746 6760 8840 10181 11492 13520 14365 17680 20362 22984 28730 40724 45968 50905 57460 81448 101810 114920 132353 162896 173077 203620 229840 264706 346154 407240 529412 661765 692308 814480 865385 1058824 1323530 1384616 1720589 1730770 2117648 2250001 2647060 2769232 3441178 3461540 4500002 5294120 6882356 6923080 8602945 9000004 10588240 11250005 13764712 13846160 17205890 18000008 22500010 27529424 29250013 34411780 36000016 45000020 58500026 68823560 90000040 117000052 137647120 146250065 180000080 234000104 292500130 468000208 585000260 1170000520 2340001040