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3642240 = 27357271
BaseRepresentation
bin1101111001001110000000
320212001012210
431321032000
51413022430
6210022120
742646530
oct15711600
96761183
103642240
112068518
121277940
139a6a94
146ab4c0
154be2b0
hex379380

3642240 has 128 divisors (see below), whose sum is σ = 13317120. Its totient is φ = 829440.

The previous prime is 3642239. The next prime is 3642241. The reversal of 3642240 is 422463.

3642240 is digitally balanced in base 5, 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 (3642239) and next prime (3642241).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13305 + ... + 13575.

It is an arithmetic number, because the mean of its divisors is an integer number (104040).

Almost surely, 23642240 is an apocalyptic number.

3642240 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 3642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658560).

3642240 is an abundant number, since it is smaller than the sum of its proper divisors (9674880).

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

3642240 is a wasteful number, since it uses less digits than its factorization.

3642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3642240 is about 1908.4653520565. The cubic root of 3642240 is about 153.8589814945.

The spelling of 3642240 in words is "three million, six hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 271 280 320 336 384 420 448 480 542 560 640 672 813 840 896 960 1084 1120 1344 1355 1626 1680 1897 1920 2168 2240 2688 2710 3252 3360 3794 4065 4336 4480 5420 5691 6504 6720 7588 8130 8672 9485 10840 11382 13008 13440 15176 16260 17344 18970 21680 22764 26016 28455 30352 32520 34688 37940 43360 45528 52032 56910 60704 65040 75880 86720 91056 104064 113820 121408 130080 151760 173440 182112 227640 242816 260160 303520 364224 455280 520320 607040 728448 910560 1214080 1821120 3642240