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3437290681 = 1121011372053
BaseRepresentation
bin1100110011100000…
…1110010010111001
322212112212110101021
43030320032102321
524014421300211
61325025022441
7151115326426
oct31470162271
98775773337
103437290681
111504296400
127bb184a21
1342a181416
14248716d4d
15151b71771
hexcce0e4b9

3437290681 has 24 divisors (see below), whose sum is σ = 3845309832. Its totient is φ = 3069792000.

The previous prime is 3437290667. The next prime is 3437290691. The reversal of 3437290681 is 1860927343.

3437290681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1555119225 + 1882171456 = 39435^2 + 43384^2 .

It is not a de Polignac number, because 3437290681 - 221 = 3435193529 is a prime.

It is a super-2 number, since 2×34372906812 = 23629934451378887522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3437290651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1673251 + ... + 1675303.

It is an arithmetic number, because the mean of its divisors is an integer number (160221243).

Almost surely, 23437290681 is an apocalyptic number.

It is an amenable number.

3437290681 is a deficient number, since it is larger than the sum of its proper divisors (408019151).

3437290681 is a wasteful number, since it uses less digits than its factorization.

3437290681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 3437290681 is about 58628.4118921876. The cubic root of 3437290681 is about 1509.1720503852.

The spelling of 3437290681 in words is "three billion, four hundred thirty-seven million, two hundred ninety thousand, six hundred eighty-one".

Divisors: 1 11 101 121 137 1111 1507 2053 12221 13837 16577 22583 152207 207353 248413 281261 1674277 2280883 3093871 25089713 28407361 34032581 312480971 3437290681