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3414220029 = 3211193749057
BaseRepresentation
bin1100101110000000…
…1101110011111101
322210221110100101200
43023200031303331
523443020020104
61322442330113
7150415251153
oct31340156375
98727410350
103414220029
1114a2269050
127b34b9939
1342546444c
1424562d3d3
1514eb15b39
hexcb80dcfd

3414220029 has 48 divisors (see below), whose sum is σ = 5816316480. Its totient is φ = 1907297280.

The previous prime is 3414220021. The next prime is 3414220031. The reversal of 3414220029 is 9200224143.

3414220029 is a `hidden beast` number, since 3 + 414 + 220 + 0 + 29 = 666.

It is not a de Polignac number, because 3414220029 - 23 = 3414220021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3414219984 and 3414220011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414220021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45069 + ... + 94125.

It is an arithmetic number, because the mean of its divisors is an integer number (121173260).

Almost surely, 23414220029 is an apocalyptic number.

It is an amenable number.

3414220029 is a deficient number, since it is larger than the sum of its proper divisors (2402096451).

3414220029 is a wasteful number, since it uses less digits than its factorization.

3414220029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49130 (or 49127 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3414220029 is about 58431.3274622441. The cubic root of 3414220029 is about 1505.7880118857.

The spelling of 3414220029 in words is "three billion, four hundred fourteen million, two hundred twenty thousand, twenty-nine".

Divisors: 1 3 9 11 19 33 37 57 99 111 171 209 333 407 627 703 1221 1881 2109 3663 6327 7733 23199 49057 69597 147171 441513 539627 932083 1618881 1815109 2796249 4856643 5445327 8388747 10252913 16335981 19966199 30758739 34487071 59898597 92276217 103461213 179695791 310383639 379357781 1138073343 3414220029