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3384340140 = 2235271208139
BaseRepresentation
bin1100100110111000…
…1110111010101100
322201212020021220010
43021232032322230
523412342341030
61315454053220
7146603262606
oct31156167254
98655207803
103384340140
11148740a925
127a54aa210
1341c20203c
14241692176
1514c1b26b0
hexc9b8eeac

3384340140 has 48 divisors (see below), whose sum is σ = 9511165440. Its totient is φ = 899156160.

The previous prime is 3384340111. The next prime is 3384340147. The reversal of 3384340140 is 410434833.

It is a super-2 number, since 2×33843401402 = 22907516366430439200, which contains 22 as substring.

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 = 3384340098 and 3384340107.

It is not an unprimeable number, because it can be changed into a prime (3384340147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87810 + ... + 120329.

It is an arithmetic number, because the mean of its divisors is an integer number (198149280).

Almost surely, 23384340140 is an apocalyptic number.

3384340140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3384340140 is an abundant number, since it is smaller than the sum of its proper divisors (6126825300).

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

3384340140 is a wasteful number, since it uses less digits than its factorization.

3384340140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208422 (or 208420 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3384340140 is about 58175.0817790573. The cubic root of 3384340140 is about 1501.3824499411.

Adding to 3384340140 its reverse (410434833), we get a palindrome (3794774973).

The spelling of 3384340140 in words is "three billion, three hundred eighty-four million, three hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 271 542 813 1084 1355 1626 2710 3252 4065 5420 8130 16260 208139 416278 624417 832556 1040695 1248834 2081390 2497668 3122085 4162780 6244170 12488340 56405669 112811338 169217007 225622676 282028345 338434014 564056690 676868028 846085035 1128113380 1692170070 3384340140