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2934680 = 235747223
BaseRepresentation
bin1011001100011110011000
312112002121212
423030132120
51222402210
6142522252
733641630
oct13143630
95462555
102934680
111724961
12b96388
137b99c8
145656c0
153ce805
hex2cc798

2934680 has 64 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 980352.

The previous prime is 2934671. The next prime is 2934697. The reversal of 2934680 is 864392.

2934680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29346802 = 17224693404800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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, 13049 + ... + 13271.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

22934680 is an apocalyptic number.

2934680 is a gapful number since it is divisible by the number (20) 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 2934680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

2934680 is an abundant number, since it is smaller than the sum of its proper divisors (4806760).

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

2934680 is a wasteful number, since it uses less digits than its factorization.

2934680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2934680 is about 1713.0907740105. The cubic root of 2934680 is about 143.1705139919.

The spelling of 2934680 in words is "two million, nine hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 223 235 280 329 376 446 470 658 892 940 1115 1316 1561 1645 1784 1880 2230 2632 3122 3290 4460 6244 6580 7805 8920 10481 12488 13160 15610 20962 31220 41924 52405 62440 73367 83848 104810 146734 209620 293468 366835 419240 586936 733670 1467340 2934680