Search a number
-
+
3449400147 = 34173779857
BaseRepresentation
bin1100110110011001…
…1010101101010011
322220101122200110000
43031212122231103
524031021301042
61330140341043
7151323263124
oct31546325523
98811580400
103449400147
111510107426
12803244783
1342c83119b
1424a18a04b
15152c6474c
hexcd99ab53

3449400147 has 80 divisors (see below), whose sum is σ = 5680920960. Its totient is φ = 2076751872.

The previous prime is 3449400139. The next prime is 3449400173. The reversal of 3449400147 is 7410049443.

It is not a de Polignac number, because 3449400147 - 23 = 3449400139 is a prime.

It is a super-2 number, since 2×34494001472 = 23796722748247243218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3449400047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4024543 + ... + 4025399.

It is an arithmetic number, because the mean of its divisors is an integer number (71011512).

Almost surely, 23449400147 is an apocalyptic number.

3449400147 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3449400147 is a deficient number, since it is larger than the sum of its proper divisors (2231520813).

3449400147 is a wasteful number, since it uses less digits than its factorization.

3449400147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3449400147 is about 58731.5941125388. The cubic root of 3449400147 is about 1510.9422283315.

The spelling of 3449400147 in words is "three billion, four hundred forty-nine million, four hundred thousand, one hundred forty-seven".

Divisors: 1 3 9 17 27 37 51 79 81 111 153 237 333 459 629 711 857 999 1343 1377 1887 2133 2571 2923 2997 4029 5661 6399 7713 8769 12087 14569 16983 23139 26307 31709 36261 43707 49691 50949 67703 69417 78921 95127 108783 131121 149073 203109 236763 285381 393363 447219 539053 609327 856143 1150951 1180089 1341657 1617159 1827981 2505011 2568429 3452853 4024971 4851477 5483943 7515033 10358559 14554431 22545099 31075677 42585187 43663293 67635297 93227031 127755561 202905891 383266683 1149800049 3449400147