Search a number
-
+
3402038929 = 172472732
BaseRepresentation
bin1100101011000110…
…1111111010010001
322210002112111001211
43022301233322101
523431410221204
61321325300121
7150206565562
oct31261577221
98702474054
103402038929
1114963a9223
127ab404641
13422a8abb3
14243b7c169
1514da0b804
hexcac6fe91

3402038929 has 27 divisors (see below), whose sum is σ = 3743733297. Its totient is φ = 3090864384.

The previous prime is 3402038897. The next prime is 3402038947. The reversal of 3402038929 is 9298302043.

The square root of 3402038929 is 58327.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 429608529 + 2972430400 = 20727^2 + 54520^2 .

It is not a de Polignac number, because 3402038929 - 25 = 3402038897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3402038891 and 3402038900.

It is not an unprimeable number, because it can be changed into a prime (3402038989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46603237 + ... + 46603309.

Almost surely, 23402038929 is an apocalyptic number.

3402038929 is the 58327-th square number.

3402038929 is the 29164-th centered octagonal number.

It is an amenable number.

3402038929 is a deficient number, since it is larger than the sum of its proper divisors (341694368).

3402038929 is an frugal number, since it uses more digits than its factorization.

3402038929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The cubic root of 3402038929 is about 1503.9951171716.

The spelling of 3402038929 in words is "three billion, four hundred two million, thirty-eight thousand, nine hundred twenty-nine".

Divisors: 1 17 47 73 289 799 1241 2209 3431 5329 13583 21097 37553 58327 90593 161257 250463 638401 991559 1540081 2741369 4257871 11771761 46603273 72383807 200119937 3402038929