Search a number
-
+
3416168704 = 281322812
BaseRepresentation
bin1100101110011110…
…1001100100000000
322211002010100110211
43023213221210000
523444014344304
61322552203504
7150440645344
oct31347514400
98732110424
103416168704
1114a337a123
127b4099594
13425997400
142459b9624
1514ed9d204
hexcb9e9900

3416168704 has 81 divisors (see below), whose sum is σ = 7410250659. Its totient is φ = 1571082240.

The previous prime is 3416168687. The next prime is 3416168711. The reversal of 3416168704 is 4078616143.

The square root of 3416168704 is 58448.

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

It can be written as a sum of positive squares in 4 ways, for example, as 149817600 + 3266351104 = 12240^2 + 57152^2 .

It is a super-2 number, since 2×34161687042 = 23340417228378079232, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12157044 + ... + 12157324.

Almost surely, 23416168704 is an apocalyptic number.

3416168704 is the 58448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3416168704

3416168704 is an abundant number, since it is smaller than the sum of its proper divisors (3994081955).

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

3416168704 is an frugal number, since it uses more digits than its factorization.

3416168704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The cubic root of 3416168704 is about 1506.0744348807.

The spelling of 3416168704 in words is "three billion, four hundred sixteen million, one hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 281 338 416 562 676 832 1124 1352 1664 2248 2704 3328 3653 4496 5408 7306 8992 10816 14612 17984 21632 29224 35968 43264 47489 58448 71936 78961 94978 116896 157922 189956 233792 315844 379912 467584 631688 759824 935168 1026493 1263376 1519648 2052986 2526752 3039296 4105972 5053504 6078592 8211944 10107008 12157184 13344409 16423888 20214016 26688818 32847776 53377636 65695552 106755272 131391104 213510544 262782208 427021088 854042176 1708084352 3416168704