Search a number
-
+
3395007 = 337112371
BaseRepresentation
bin1100111100110110111111
320101111002000
430330312333
51332120012
6200433343
740566660
oct14746677
96344060
103395007
111a097a0
121178853
1391b3a5
14645367
15470ddc
hex33cdbf

3395007 has 64 divisors (see below), whose sum is σ = 6635520. Its totient is φ = 1663200.

The previous prime is 3394999. The next prime is 3395033. The reversal of 3395007 is 7005933.

It is not a de Polignac number, because 3395007 - 23 = 3394999 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47782 + ... + 47852.

It is an arithmetic number, because the mean of its divisors is an integer number (103680).

Almost surely, 23395007 is an apocalyptic number.

3395007 is a deficient number, since it is larger than the sum of its proper divisors (3240513).

3395007 is a wasteful number, since it uses less digits than its factorization.

3395007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 3395007 is about 1842.5544768066. The cubic root of 3395007 is about 150.2958162349.

The spelling of 3395007 in words is "three million, three hundred ninety-five thousand, seven".

Divisors: 1 3 7 9 11 21 23 27 33 63 69 71 77 99 161 189 207 213 231 253 297 483 497 621 639 693 759 781 1449 1491 1633 1771 1917 2079 2277 2343 4347 4473 4899 5313 5467 6831 7029 11431 13419 14697 15939 16401 17963 21087 34293 44091 47817 49203 53889 102879 125741 147609 161667 308637 377223 485001 1131669 3395007