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3364692972 = 22317113227643
BaseRepresentation
bin1100100010001101…
…0010001111101100
322200111021010001020
43020203102033230
523342330133342
61313513014140
7146244263334
oct31043221754
98614233036
103364692972
1114773106a3
1279a9b4350
134181133b4
1423cc1a0c4
1514a5d10ec
hexc88d23ec

3364692972 has 96 divisors (see below), whose sum is σ = 8436379392. Its totient is φ = 1040019456.

The previous prime is 3364692967. The next prime is 3364692983. The reversal of 3364692972 is 2792964633.

It is a super-2 number, since 2×33646929722 = 22642317591652385568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5232483 + ... + 5233125.

It is an arithmetic number, because the mean of its divisors is an integer number (87878952).

Almost surely, 23364692972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3364692972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218189696).

3364692972 is an abundant number, since it is smaller than the sum of its proper divisors (5071686420).

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

3364692972 is a wasteful number, since it uses less digits than its factorization.

3364692972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1005 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 51.

The square root of 3364692972 is about 58005.9735889331. The cubic root of 3364692972 is about 1498.4714758272.

The spelling of 3364692972 in words is "three billion, three hundred sixty-four million, six hundred ninety-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 113 204 226 227 339 452 454 643 678 681 908 1286 1356 1362 1921 1929 2572 2724 3842 3858 3859 5763 7684 7716 7718 10931 11526 11577 15436 21862 23052 23154 25651 32793 43724 46308 51302 65586 72659 76953 102604 131172 145318 145961 153906 217977 290636 291922 307812 435954 436067 437883 583844 871908 872134 875766 1235203 1308201 1744268 1751532 2470406 2481337 2616402 3705609 4940812 4962674 5232804 7411218 7444011 9925348 14822436 14888022 16493593 29776044 32987186 49480779 65974372 98961558 197923116 280391081 560782162 841173243 1121564324 1682346486 3364692972