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3443143440 = 2435111304221
BaseRepresentation
bin1100110100111010…
…0011001100010000
322212221212210212010
43031032203030100
524022421042230
61325354302520
7151216144032
oct31516431420
98787783763
103443143440
1115076236a0
12801127a40
1342b4503a9
142493dbc52
1515242a9b0
hexcd3a3310

3443143440 has 80 divisors (see below), whose sum is σ = 11644094016. Its totient is φ = 834700800.

The previous prime is 3443143427. The next prime is 3443143471. The reversal of 3443143440 is 443413443.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3443143398 and 3443143407.

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, 649471 + ... + 654750.

Almost surely, 23443143440 is an apocalyptic number.

3443143440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3443143440 is an abundant number, since it is smaller than the sum of its proper divisors (8200950576).

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

3443143440 is a wasteful number, since it uses less digits than its factorization.

3443143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304248 (or 1304242 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3443143440 is about 58678.3046789868. The cubic root of 3443143440 is about 1510.0281327449.

Adding to 3443143440 its reverse (443413443), we get a palindrome (3886556883).

The spelling of 3443143440 in words is "three billion, four hundred forty-three million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 1304221 2608442 3912663 5216884 6521105 7825326 10433768 13042210 14346431 15650652 19563315 20867536 26084420 28692862 31301304 39126630 43039293 52168840 57385724 62602608 71732155 78253260 86078586 104337680 114771448 143464310 156506520 172157172 215196465 229542896 286928620 313013040 344314344 430392930 573857240 688628688 860785860 1147714480 1721571720 3443143440