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3484680 = 233571409
BaseRepresentation
bin1101010010110000001000
320120001002020
431102300020
51343002210
6202404440
741422263
oct15226010
96501066
103484680
111a70101
121200720
13950154
14669cda
1548c770
hex352c08

3484680 has 64 divisors (see below), whose sum is σ = 10627200. Its totient is φ = 913920.

The previous prime is 3484667. The next prime is 3484687. The reversal of 3484680 is 864843.

It is not an unprimeable number, because it can be changed into a prime (3484687) 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, 8316 + ... + 8724.

It is an arithmetic number, because the mean of its divisors is an integer number (166050).

Almost surely, 23484680 is an apocalyptic number.

3484680 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 3484680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313600).

3484680 is an abundant number, since it is smaller than the sum of its proper divisors (7142520).

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

3484680 is a wasteful number, since it uses less digits than its factorization.

3484680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3484680 is about 1866.7297608385. The cubic root of 3484680 is about 151.6075981925.

The spelling of 3484680 in words is "three million, four hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 409 426 568 710 818 852 1065 1227 1420 1636 1704 2045 2130 2454 2840 3272 4090 4260 4908 6135 8180 8520 9816 12270 16360 24540 29039 49080 58078 87117 116156 145195 174234 232312 290390 348468 435585 580780 696936 871170 1161560 1742340 3484680