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3954000216 = 2331716758031
BaseRepresentation
bin1110101110101101…
…0100000101011000
3101012120011000121110
43223223110011120
531044211001331
61452203540320
7166661306265
oct35353240530
911176130543
103954000216
111749a25981
1292422a6a0
134b0236cca
142971bc26c
151821da946
hexebad4158

3954000216 has 64 divisors (see below), whose sum is σ = 10529326080. Its totient is φ = 1233021440.

The previous prime is 3954000209. The next prime is 3954000223. The reversal of 3954000216 is 6120004593.

3954000216 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 (3954000209) and next prime (3954000223).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39121 + ... + 97151.

It is an arithmetic number, because the mean of its divisors is an integer number (164520720).

Almost surely, 23954000216 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 3954000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264663040).

3954000216 is an abundant number, since it is smaller than the sum of its proper divisors (6575325864).

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

3954000216 is a wasteful number, since it uses less digits than its factorization.

3954000216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58224 (or 58220 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 3954000216 is about 62880.8414065842. The cubic root of 3954000216 is about 1581.2925672408.

The spelling of 3954000216 in words is "three billion, nine hundred fifty-four million, two hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 167 204 334 408 501 668 1002 1336 2004 2839 4008 5678 8517 11356 17034 22712 34068 58031 68136 116062 174093 232124 348186 464248 696372 986527 1392744 1973054 2959581 3946108 5919162 7892216 9691177 11838324 19382354 23676648 29073531 38764708 58147062 77529416 116294124 164750009 232588248 329500018 494250027 659000036 988500054 1318000072 1977000108 3954000216