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3400202140 = 2253110335309
BaseRepresentation
bin1100101010101010…
…1111011110011100
322202222002011110121
43022222233132130
523430422432030
61321222044324
7150155145526
oct31252573634
98688064417
103400202140
111495364215
127aa8796a4
13422596b3a
14243820a16
1514d79747a
hexcaaaf79c

3400202140 has 48 divisors (see below), whose sum is σ = 7379285760. Its totient is φ = 1314685440.

The previous prime is 3400202137. The next prime is 3400202161. The reversal of 3400202140 is 412020043.

It is a super-2 number, since 2×34002021402 = 23122749185721159200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637806 + ... + 643114.

It is an arithmetic number, because the mean of its divisors is an integer number (153735120).

Almost surely, 23400202140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689642880).

3400202140 is an abundant number, since it is smaller than the sum of its proper divisors (3979083620).

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

3400202140 is a wasteful number, since it uses less digits than its factorization.

3400202140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3400202140 is about 58311.2522588908. The cubic root of 3400202140 is about 1503.7243953032.

Adding to 3400202140 its reverse (412020043), we get a palindrome (3812222183).

The spelling of 3400202140 in words is "three billion, four hundred million, two hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1033 2066 4132 5165 5309 10330 10618 20660 21236 26545 32023 53090 64046 106180 128092 160115 164579 320230 329158 640460 658316 822895 1645790 3291580 5484197 10968394 21936788 27420985 54841970 109683940 170010107 340020214 680040428 850050535 1700101070 3400202140