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3485640 = 233531937
BaseRepresentation
bin1101010010111111001000
320120002101210
431102333020
51343020030
6202413120
741425134
oct15227710
96502353
103485640
111a708a4
1212011a0
13950712
1466a3c4
1548cbb0
hex352fc8

3485640 has 64 divisors (see below), whose sum is σ = 10805760. Its totient is φ = 898560.

The previous prime is 3485639. The next prime is 3485641. The reversal of 3485640 is 465843.

It is an interprime number because it is at equal distance from previous prime (3485639) and next prime (3485641).

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 = 3485598 and 3485607.

It is not an unprimeable number, because it can be changed into a prime (3485641) 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, 3252 + ... + 4188.

It is an arithmetic number, because the mean of its divisors is an integer number (168840).

Almost surely, 23485640 is an apocalyptic number.

3485640 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 3485640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5402880).

3485640 is an abundant number, since it is smaller than the sum of its proper divisors (7320120).

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

3485640 is a wasteful number, since it uses less digits than its factorization.

3485640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3485640 is about 1866.9868772972. The cubic root of 3485640 is about 151.6215191198.

The spelling of 3485640 in words is "three million, four hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 937 1240 1860 1874 2811 3720 3748 4685 5622 7496 9370 11244 14055 18740 22488 28110 29047 37480 56220 58094 87141 112440 116188 145235 174282 232376 290470 348564 435705 580940 697128 871410 1161880 1742820 3485640