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3429937 = 717193741
BaseRepresentation
bin1101000101011000110001
320110020222201
431011120301
51334224222
6201303201
741103550
oct15053061
96406881
103429937
111a32a65
121194b01
13931264
14653d97
1547b427
hex345631

3429937 has 32 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 2488320.

The previous prime is 3429901. The next prime is 3429961. The reversal of 3429937 is 7399243.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3429937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 3429896 and 3429905.

It is not an unprimeable number, because it can be changed into a prime (3429977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83637 + ... + 83677.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 23429937 is an apocalyptic number.

3429937 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3429937 is a deficient number, since it is larger than the sum of its proper divisors (1166543).

3429937 is a wasteful number, since it uses less digits than its factorization.

3429937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121.

The product of its digits is 40824, while the sum is 37.

The square root of 3429937 is about 1852.0089092658. The cubic root of 3429937 is about 150.8095049674.

It can be divided in two parts, 342993 and 7, that added together give a cube (343000 = 703).

The spelling of 3429937 in words is "three million, four hundred twenty-nine thousand, nine hundred thirty-seven".

Divisors: 1 7 17 19 37 41 119 133 259 287 323 629 697 703 779 1517 2261 4403 4879 4921 5453 10619 11951 13243 25789 28823 83657 92701 180523 201761 489991 3429937