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3138264 = 233429167
BaseRepresentation
bin1011111110001011011000
312220102220000
423332023120
51300411024
6151133000
735450313
oct13761330
95812800
103138264
111853908
121074160
1385b57c
145b997a
1541ecc9
hex2fe2d8

3138264 has 80 divisors (see below), whose sum is σ = 9147600. Its totient is φ = 1003968.

The previous prime is 3138221. The next prime is 3138283. The reversal of 3138264 is 4628313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18709 + ... + 18875.

It is an arithmetic number, because the mean of its divisors is an integer number (114345).

Almost surely, 23138264 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 3138264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573800).

3138264 is an abundant number, since it is smaller than the sum of its proper divisors (6009336).

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

3138264 is a wasteful number, since it uses less digits than its factorization.

3138264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3138264 is about 1771.5146062057. The cubic root of 3138264 is about 146.4074438569.

The spelling of 3138264 in words is "three million, one hundred thirty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 167 174 216 232 261 324 334 348 501 522 648 668 696 783 1002 1044 1336 1503 1566 2004 2088 2349 3006 3132 4008 4509 4698 4843 6012 6264 9018 9396 9686 12024 13527 14529 18036 18792 19372 27054 29058 36072 38744 43587 54108 58116 87174 108216 116232 130761 174348 261522 348696 392283 523044 784566 1046088 1569132 3138264