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3268740 = 2235157347
BaseRepresentation
bin1100011110000010000100
320011001212110
430132002010
51314044430
6154021020
736532566
oct14360204
96131773
103268740
111932942
121117770
138a5a87
14611336
154487b0
hex31e084

3268740 has 48 divisors (see below), whose sum is σ = 9237312. Its totient is φ = 863616.

The previous prime is 3268739. The next prime is 3268753. The reversal of 3268740 is 478623.

It is a super-2 number, since 2×32687402 = 21369322375200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3268698 and 3268707.

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, 9247 + ... + 9593.

It is an arithmetic number, because the mean of its divisors is an integer number (192444).

Almost surely, 23268740 is an apocalyptic number.

3268740 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 3268740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618656).

3268740 is an abundant number, since it is smaller than the sum of its proper divisors (5968572).

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

3268740 is a wasteful number, since it uses less digits than its factorization.

3268740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3268740 is about 1807.9657076394. The cubic root of 3268740 is about 148.4089614203.

The spelling of 3268740 in words is "three million, two hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 347 471 628 694 785 942 1041 1388 1570 1735 1884 2082 2355 3140 3470 4164 4710 5205 6940 9420 10410 20820 54479 108958 163437 217916 272395 326874 544790 653748 817185 1089580 1634370 3268740