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3357240040 = 2357111090013
BaseRepresentation
bin1100100000011011…
…0110101011101000
322122222020110112201
43020012312223220
523333423140130
61313045145544
7146124032560
oct31006665350
98588213481
103357240040
111473090150
127983bb2b4
13416703c8b
1423bc39da0
15149b0cbca
hexc81b6ae8

3357240040 has 64 divisors (see below), whose sum is σ = 9417720960. Its totient is φ = 1046411520.

The previous prime is 3357239999. The next prime is 3357240059. The reversal of 3357240040 is 400427533.

It is a super-2 number, since 2×33572400402 = 22542121372358403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3357239990 and 3357240008.

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, 541927 + ... + 548086.

It is an arithmetic number, because the mean of its divisors is an integer number (147151890).

Almost surely, 23357240040 is an apocalyptic number.

It is an amenable number.

3357240040 is an abundant number, since it is smaller than the sum of its proper divisors (6060480920).

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

3357240040 is a wasteful number, since it uses less digits than its factorization.

3357240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090042 (or 1090038 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 3357240040 is about 57941.6951771347. The cubic root of 3357240040 is about 1497.3642661322.

Adding to 3357240040 its reverse (400427533), we get a palindrome (3757667573).

The spelling of 3357240040 in words is "three billion, three hundred fifty-seven million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 1090013 2180026 4360052 5450065 7630091 8720104 10900130 11990143 15260182 21800260 23980286 30520364 38150455 43600520 47960572 59950715 61040728 76300910 83931001 95921144 119901430 152601820 167862002 239802860 305203640 335724004 419655005 479605720 671448008 839310010 1678620020 3357240040