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3443742480 = 2435110313009
BaseRepresentation
bin1100110101000011…
…0101011100010000
322220000000020120210
43031100311130100
524023044224410
61325415204120
7151224220353
oct31520653420
98800006523
103443742480
1115079a2772
12801376640
1342b5ccc59
1424951629a
151524e8220
hexcd435710

3443742480 has 80 divisors (see below), whose sum is σ = 10686101760. Its totient is φ = 917428224.

The previous prime is 3443742473. The next prime is 3443742509. The reversal of 3443742480 is 842473443.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258216 + ... + 271224.

It is an arithmetic number, because the mean of its divisors is an integer number (133576272).

Almost surely, 23443742480 is an apocalyptic number.

3443742480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3443742480 is an abundant number, since it is smaller than the sum of its proper divisors (7242359280).

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

3443742480 is a wasteful number, since it uses less digits than its factorization.

3443742480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14128 (or 14122 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The square root of 3443742480 is about 58683.4088989384. The cubic root of 3443742480 is about 1510.1156995100.

The spelling of 3443742480 in words is "three billion, four hundred forty-three million, seven hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1103 2206 3309 4412 5515 6618 8824 11030 13009 13236 16545 17648 22060 26018 26472 33090 39027 44120 52036 52944 65045 66180 78054 88240 104072 130090 132360 156108 195135 208144 260180 264720 312216 390270 520360 624432 780540 1040720 1561080 3122160 14348927 28697854 43046781 57395708 71744635 86093562 114791416 143489270 172187124 215233905 229582832 286978540 344374248 430467810 573957080 688748496 860935620 1147914160 1721871240 3443742480