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3414713472 = 27322964161
BaseRepresentation
bin1100101110001000…
…0110010010000000
322210222101102021100
43023202012102000
523443131312342
61322501054400
7150422404602
oct31342062200
98728342240
103414713472
1114a2575855
127b36b7400
134255a7c21
1424571b172
1514ebb1e4c
hexcb886480

3414713472 has 48 divisors (see below), whose sum is σ = 9826197030. Its totient is φ = 1138237440.

The previous prime is 3414713453. The next prime is 3414713479. The reversal of 3414713472 is 2743174143.

3414713472 is a `hidden beast` number, since 34 + 147 + 13 + 472 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3376074816 + 38638656 = 58104^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3414713479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1480929 + ... + 1483232.

Almost surely, 23414713472 is an apocalyptic number.

3414713472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3414713472 is an abundant number, since it is smaller than the sum of its proper divisors (6411483558).

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

3414713472 is a wasteful number, since it uses less digits than its factorization.

3414713472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964181 (or 2964166 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 3414713472 is about 58435.5497278840. The cubic root of 3414713472 is about 1505.8605501477.

The spelling of 3414713472 in words is "three billion, four hundred fourteen million, seven hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2964161 5928322 8892483 11856644 17784966 23713288 26677449 35569932 47426576 53354898 71139864 94853152 106709796 142279728 189706304 213419592 284559456 379412608 426839184 569118912 853678368 1138237824 1707356736 3414713472