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3705345 = 34571307
BaseRepresentation
bin1110001000101000000001
320222020210000
432020220001
51422032340
6211230213
743331520
oct16105001
96866700
103705345
112100976
1212a8369
139c9717
146c64b7
154d2d30
hex388a01

3705345 has 40 divisors (see below), whose sum is σ = 7596864. Its totient is φ = 1692576.

The previous prime is 3705343. The next prime is 3705347. The reversal of 3705345 is 5435073.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3705343) and next prime (3705347).

It is not a de Polignac number, because 3705345 - 21 = 3705343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3705343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2182 + ... + 3488.

Almost surely, 23705345 is an apocalyptic number.

3705345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3705345 is an abundant number, since it is smaller than the sum of its proper divisors (3891519).

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

3705345 is a wasteful number, since it uses less digits than its factorization.

3705345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 3705345 is about 1924.9272713534. The cubic root of 3705345 is about 154.7424790796.

The spelling of 3705345 in words is "three million, seven hundred five thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 1307 2835 3921 6535 9149 11763 19605 27447 35289 45745 58815 82341 105867 137235 176445 247023 411705 529335 741069 1235115 3705345