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3479702121 = 3272534
BaseRepresentation
bin1100111101101000…
…0000101001101001
322222111200011221100
43033122000221221
524111300431441
61333142032013
7152141660100
oct31732005151
98874604840
103479702121
111526223785
12811418609
13435bb074c
142501d7037
1515574ccb6
hexcf680a69

3479702121 has 45 divisors (see below), whose sum is σ = 5959285761. Its totient is φ = 1950884208.

The previous prime is 3479702101. The next prime is 3479702143. The reversal of 3479702121 is 1212079743.

The square root of 3479702121 is 58989.

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

It can be written as a sum of positive squares in 2 ways, for example, as 679175721 + 2800526400 = 26061^2 + 52920^2 .

It is a de Polignac number, because none of the positive numbers 2k-3479702121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3479702101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65654731 + ... + 65654783.

Almost surely, 23479702121 is an apocalyptic number.

3479702121 is the 58989-th square number.

3479702121 is the 29495-th centered octagonal number.

It is an amenable number.

3479702121 is a deficient number, since it is larger than the sum of its proper divisors (2479583640).

3479702121 is an frugal number, since it uses more digits than its factorization.

3479702121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The cubic root of 3479702121 is about 1515.3537310808.

Multiplying 3479702121 by its sum of digits (36), we get a square (125269276356 = 3539342).

It can be divided in two parts, 3479 and 702121, that added together give a square (705600 = 8402).

The spelling of 3479702121 in words is "three billion, four hundred seventy-nine million, seven hundred two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 49 53 63 147 159 371 441 477 1113 2597 2809 3339 7791 8427 19663 23373 25281 58989 137641 148877 176967 412923 446631 1042139 1238769 1339893 3126417 7294973 7890481 9379251 21884919 23671443 55233367 65654757 71014329 165700101 386633569 497100303 1159900707 3479702121