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3974399460 = 223452453333
BaseRepresentation
bin1110110011100100…
…1000010111100100
3101020222112102010000
43230321020113210
531114421240320
61454213101300
7200326560303
oct35471102744
911228472100
103974399460
11175a499159
1292b027830
134b452a075
14299bac43a
15183db9c90
hexece485e4

3974399460 has 60 divisors (see below), whose sum is σ = 12467843388. Its totient is φ = 1059839424.

The previous prime is 3974399459. The next prime is 3974399467. The reversal of 3974399460 is 649934793.

3974399460 is a `hidden beast` number, since 3 + 97 + 4 + 3 + 99 + 460 = 666.

3974399460 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 420332004 + 3554067456 = 20502^2 + 59616^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 3974399397 and 3974399406.

It is not an unprimeable number, because it can be changed into a prime (3974399467) 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, 1225047 + ... + 1228286.

Almost surely, 23974399460 is an apocalyptic number.

3974399460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3974399460 is an abundant number, since it is smaller than the sum of its proper divisors (8493443928).

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

3974399460 is a wasteful number, since it uses less digits than its factorization.

3974399460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453354 (or 2453343 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 3974399460 is about 63042.8382927038. The cubic root of 3974399460 is about 1584.0072744156.

The spelling of 3974399460 in words is "three billion, nine hundred seventy-four million, three hundred ninety-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2453333 4906666 7359999 9813332 12266665 14719998 22079997 24533330 29439996 36799995 44159994 49066660 66239991 73599990 88319988 110399985 132479982 147199980 198719973 220799970 264959964 331199955 397439946 441599940 662399910 794879892 993599865 1324799820 1987199730 3974399460