Search a number
-
+
3074149080 = 2332519449437
BaseRepresentation
bin1011011100111011…
…1100101011011000
321221020112221202100
42313032330223120
522243440232310
61225013403400
7136115556522
oct26716745330
97836487670
103074149080
111338305782
12719639560
1339cb76732
142123c8a12
1512ed3dec0
hexb73bcad8

3074149080 has 96 divisors (see below), whose sum is σ = 10516849200. Its totient is φ = 776625408.

The previous prime is 3074149079. The next prime is 3074149081. The reversal of 3074149080 is 809414703.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3074149079) and next prime (3074149081).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3074149081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217879 + ... + 231558.

Almost surely, 23074149080 is an apocalyptic number.

3074149080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3074149080 is an abundant number, since it is smaller than the sum of its proper divisors (7442700120).

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

3074149080 is a wasteful number, since it uses less digits than its factorization.

3074149080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449473 (or 449466 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3074149080 is about 55445.0095139319. The cubic root of 3074149080 is about 1454.0353828801.

The spelling of 3074149080 in words is "three billion, seventy-four million, one hundred forty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 449437 898874 1348311 1797748 2247185 2696622 3595496 4044933 4494370 5393244 6741555 8089866 8539303 8988740 10786488 13483110 16179732 17078606 17977480 20224665 25617909 26966220 32359464 34157212 40449330 42696515 51235818 53932440 68314424 76853727 80898660 85393030 102471636 128089545 153707454 161797320 170786060 204943272 256179090 307414908 341572120 384268635 512358180 614829816 768537270 1024716360 1537074540 3074149080