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3124704 = 253112269
BaseRepresentation
bin1011111010110111100000
312212202021210
423322313200
51244442304
6150550120
735362632
oct13726740
95782253
103124704
111844700
121068340
1385534b
145b4a52
1541ac89
hex2fade0

3124704 has 72 divisors (see below), whose sum is σ = 9049320. Its totient is φ = 943360.

The previous prime is 3124691. The next prime is 3124717. The reversal of 3124704 is 4074213.

It is an interprime number because it is at equal distance from previous prime (3124691) and next prime (3124717).

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 11 ways as a sum of consecutive naturals, for example, 11482 + ... + 11750.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

Almost surely, 23124704 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 3124704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524660).

3124704 is an abundant number, since it is smaller than the sum of its proper divisors (5924616).

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

3124704 is a wasteful number, since it uses less digits than its factorization.

3124704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 3124704 is about 1767.6832295409. The cubic root of 3124704 is about 146.1962707156.

Adding to 3124704 its reverse (4074213), we get a palindrome (7198917).

It can be divided in two parts, 3124 and 704, that added together give a triangular number (3828 = T87).

The spelling of 3124704 in words is "three million, one hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 269 352 363 484 528 538 726 807 968 1056 1076 1452 1614 1936 2152 2904 2959 3228 3872 4304 5808 5918 6456 8608 8877 11616 11836 12912 17754 23672 25824 32549 35508 47344 65098 71016 94688 97647 130196 142032 195294 260392 284064 390588 520784 781176 1041568 1562352 3124704