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3057240 = 233573349
BaseRepresentation
bin1011101010011001011000
312202022202010
423222121120
51240312430
6145305520
734662144
oct13523130
95668663
103057240
1117a8a4a
1210352a0
13830724
14598224
15405cb0
hex2ea658

3057240 has 64 divisors (see below), whose sum is σ = 9324000. Its totient is φ = 801792.

The previous prime is 3057227. The next prime is 3057253. The reversal of 3057240 is 427503.

It is a happy number.

3057240 is digitally balanced in base 2 and base 5, because in such bases 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 (3057227) and next prime (3057253).

It is a super-4 number, since 4×30572404 (a number of 27 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8586 + ... + 8934.

Almost surely, 23057240 is an apocalyptic number.

3057240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3057240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662000).

3057240 is an abundant number, since it is smaller than the sum of its proper divisors (6266760).

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

3057240 is a wasteful number, since it uses less digits than its factorization.

3057240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 3057240 is about 1748.4964969939. The cubic root of 3057240 is about 145.1364549786.

The spelling of 3057240 in words is "three million, fifty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 349 365 438 584 698 730 876 1047 1095 1396 1460 1745 1752 2094 2190 2792 2920 3490 4188 4380 5235 6980 8376 8760 10470 13960 20940 25477 41880 50954 76431 101908 127385 152862 203816 254770 305724 382155 509540 611448 764310 1019080 1528620 3057240