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3411030240 = 253252368771
BaseRepresentation
bin1100101101010000…
…0011000011100000
322210201110021211100
43023110003003200
523441210431430
61322250114400
7150346164402
oct31324030340
98721407740
103411030240
1114a048a562
127b241ba00
134248b85b7
1424503cb72
1514e6d5960
hexcb5030e0

3411030240 has 72 divisors (see below), whose sum is σ = 11640145608. Its totient is φ = 909607680.

The previous prime is 3411030239. The next prime is 3411030253. The reversal of 3411030240 is 420301143.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182946 + ... + 1185825.

It is an arithmetic number, because the mean of its divisors is an integer number (161668689).

Almost surely, 23411030240 is an apocalyptic number.

3411030240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3411030240 is an abundant number, since it is smaller than the sum of its proper divisors (8229115368).

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

3411030240 is a wasteful number, since it uses less digits than its factorization.

3411030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368792 (or 2368781 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3411030240 is about 58404.0258886320. The cubic root of 3411030240 is about 1505.3189303602.

Adding to 3411030240 its reverse (420301143), we get a palindrome (3831331383).

The spelling of 3411030240 in words is "three billion, four hundred eleven million, thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2368771 4737542 7106313 9475084 11843855 14212626 18950168 21318939 23687710 28425252 35531565 37900336 42637878 47375420 56850504 71063130 75800672 85275756 94750840 106594695 113701008 142126260 170551512 189501680 213189390 227402016 284252520 341103024 379003360 426378780 568505040 682206048 852757560 1137010080 1705515120 3411030240