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3714021828 = 22331126311887
BaseRepresentation
bin1101110101011111…
…0111100111000100
3100120211120212011000
43131113313213010
530101242144303
61412312213300
7161015443656
oct33527674704
910524525130
103714021828
111636517630
1287799a230
134725c2c6a
142733906d6
1516b0d5da3
hexdd5f79c4

3714021828 has 96 divisors (see below), whose sum is σ = 10545131520. Its totient is φ = 1121087520.

The previous prime is 3714021823. The next prime is 3714021847. The reversal of 3714021828 is 8281204173.

3714021828 is a `hidden beast` number, since 3 + 71 + 402 + 182 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3714021792 and 3714021801.

It is not an unprimeable number, because it can be changed into a prime (3714021823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306501 + ... + 318387.

It is an arithmetic number, because the mean of its divisors is an integer number (109845120).

Almost surely, 23714021828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3714021828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272565760).

3714021828 is an abundant number, since it is smaller than the sum of its proper divisors (6831109692).

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

3714021828 is a wasteful number, since it uses less digits than its factorization.

3714021828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12174 (or 12166 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3714021828 is about 60942.7750270695. The cubic root of 3714021828 is about 1548.6317204138.

The spelling of 3714021828 in words is "three billion, seven hundred fourteen million, twenty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 263 297 396 526 594 789 1052 1188 1578 2367 2893 3156 4734 5786 7101 8679 9468 11572 11887 14202 17358 23774 26037 28404 34716 35661 47548 52074 71322 78111 104148 106983 130757 142644 156222 213966 261514 312444 320949 392271 427932 523028 641898 784542 1176813 1283796 1569084 2353626 3126281 3530439 4707252 6252562 7060878 9378843 12505124 14121756 18757686 28136529 34389091 37515372 56273058 68778182 84409587 103167273 112546116 137556364 168819174 206334546 309501819 337638348 412669092 619003638 928505457 1238007276 1857010914 3714021828