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2934864 = 243289229
BaseRepresentation
bin1011001100100001010000
312112002212200
423030201100
51222403424
6142523200
733642312
oct13144120
95462780
102934864
111725009
12b96500
137b9b0a
145657b2
153ce8c9
hex2cc850

2934864 has 60 divisors (see below), whose sum is σ = 8342100. Its totient is φ = 963072.

The previous prime is 2934859. The next prime is 2934871. The reversal of 2934864 is 4684392.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1742400 + 1192464 = 1320^2 + 1092^2 .

It is a super-2 number, since 2×29348642 = 17226853396992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12702 + ... + 12930.

It is an arithmetic number, because the mean of its divisors is an integer number (139035).

22934864 is an apocalyptic number.

2934864 is a gapful number since it is divisible by the number (24) 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 2934864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171050).

2934864 is an abundant number, since it is smaller than the sum of its proper divisors (5407236).

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

2934864 is a wasteful number, since it uses less digits than its factorization.

2934864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2934864 is about 1713.1444772698. The cubic root of 2934864 is about 143.1735061209.

The spelling of 2934864 in words is "two million, nine hundred thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 229 267 356 458 534 687 712 801 916 1068 1374 1424 1602 1832 2061 2136 2748 3204 3664 4122 4272 5496 6408 8244 10992 12816 16488 20381 32976 40762 61143 81524 122286 163048 183429 244572 326096 366858 489144 733716 978288 1467432 2934864