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3413014000 = 245311155137
BaseRepresentation
bin1100101101101110…
…0111010111110000
322210212012002000221
43023123213113300
523442212422000
61322400422424
7150402066064
oct31333472760
98725162027
103413014000
1114a1614a30
127b3017a14
13425131516
142453d7aa4
1514e97861a
hexcb6e75f0

3413014000 has 80 divisors (see below), whose sum is σ = 9002968416. Its totient is φ = 1241088000.

The previous prime is 3413013997. The next prime is 3413014001. The reversal of 3413014000 is 4103143.

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413014001) by changing a digit.

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, 55569 + ... + 99568.

Almost surely, 23413014000 is an apocalyptic number.

It is an amenable number.

3413014000 is an abundant number, since it is smaller than the sum of its proper divisors (5589954416).

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

3413014000 is a wasteful number, since it uses less digits than its factorization.

3413014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155171 (or 155155 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3413014000 is about 58421.0064959514. The cubic root of 3413014000 is about 1505.6106909685.

Adding to 3413014000 its reverse (4103143), we get a palindrome (3417117143).

The spelling of 3413014000 in words is "three billion, four hundred thirteen million, fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 155137 310274 620548 775685 1241096 1551370 1706507 2482192 3102740 3413014 3878425 6205480 6826028 7756850 8532535 12410960 13652056 15513700 17065070 19392125 27304112 31027400 34130140 38784250 42662675 62054800 68260280 77568500 85325350 136520560 155137000 170650700 213313375 310274000 341301400 426626750 682602800 853253500 1706507000 3413014000