Search a number
-
+
1674342912 = 29311412417
BaseRepresentation
bin110001111001100…
…0111001000000000
311022200120102200110
41203303013020000
511412112433122
6434050551320
756330452134
oct14363071000
94280512613
101674342912
1178a139680
123a8898540
13208b65268
1411c5273c4
159bed690c
hex63cc7200

1674342912 has 160 divisors (see below), whose sum is σ = 4986805824. Its totient is φ = 494796800.

The previous prime is 1674342911. The next prime is 1674342913. The reversal of 1674342912 is 2192434761.

It is an interprime number because it is at equal distance from previous prime (1674342911) and next prime (1674342913).

It is not an unprimeable number, because it can be changed into a prime (1674342911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691528 + ... + 693944.

Almost surely, 21674342912 is an apocalyptic number.

1674342912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1674342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493402912).

1674342912 is an abundant number, since it is smaller than the sum of its proper divisors (3312462912).

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

1674342912 is a wasteful number, since it uses less digits than its factorization.

1674342912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2474 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 1674342912 is about 40918.7354643322. The cubic root of 1674342912 is about 1187.4485531470.

The spelling of 1674342912 in words is "one billion, six hundred seventy-four million, three hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 246 256 264 328 352 384 451 492 512 528 656 704 768 902 984 1056 1312 1353 1408 1536 1804 1968 2112 2417 2624 2706 2816 3608 3936 4224 4834 5248 5412 5632 7216 7251 7872 8448 9668 10496 10824 14432 14502 15744 16896 19336 20992 21648 26587 28864 29004 31488 38672 43296 53174 57728 58008 62976 77344 79761 86592 99097 106348 115456 116016 154688 159522 173184 198194 212696 230912 232032 297291 309376 319044 346368 396388 425392 464064 594582 618752 638088 692736 792776 850784 928128 1090067 1189164 1237504 1276176 1585552 1701568 1856256 2180134 2378328 2552352 3171104 3270201 3403136 3712512 4360268 4756656 5104704 6342208 6540402 6806272 8720536 9513312 10209408 12684416 13080804 13612544 17441072 19026624 20418816 25368832 26161608 34882144 38053248 40837632 50737664 52323216 69764288 76106496 104646432 139528576 152212992 209292864 279057152 418585728 558114304 837171456 1674342912