Search a number
-
+
3979374480 = 24345614101
BaseRepresentation
bin1110110100110000…
…0110111110010000
3101021022220011120000
43231030012332100
531122204440410
61454511450000
7200420060604
oct35514067620
911238804500
103979374480
111762286a44
12930826900
134b557c673
1429a705504
1518454ddc0
hexed306f90

3979374480 has 100 divisors (see below), whose sum is σ = 13820979612. Its totient is φ = 1061164800.

The previous prime is 3979374479. The next prime is 3979374481. The reversal of 3979374480 is 844739793.

3979374480 is a `hidden beast` number, since 3 + 9 + 7 + 93 + 74 + 480 = 666.

3979374480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3979374479) and next prime (3979374481).

It can be written as a sum of positive squares in 2 ways, for example, as 1734889104 + 2244485376 = 41652^2 + 47376^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3979374481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300571 + ... + 313530.

Almost surely, 23979374480 is an apocalyptic number.

3979374480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3979374480 is an abundant number, since it is smaller than the sum of its proper divisors (9841605132).

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

3979374480 is a wasteful number, since it uses less digits than its factorization.

3979374480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614126 (or 614111 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3979374480 is about 63082.2834082597. The cubic root of 3979374480 is about 1584.6679345620.

The spelling of 3979374480 in words is "three billion, nine hundred seventy-nine million, three hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 614101 1228202 1842303 2456404 3070505 3684606 4912808 5526909 6141010 7369212 9211515 9825616 11053818 12282020 14738424 16580727 18423030 22107636 24564040 27634545 29476848 33161454 36846060 44215272 49128080 49742181 55269090 66322908 73692120 82903635 88430544 99484362 110538180 132645816 147384240 165807270 198968724 221076360 248710905 265291632 331614540 397937448 442152720 497421810 663229080 795874896 994843620 1326458160 1989687240 3979374480