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2874340 = 22573419
BaseRepresentation
bin1010111101101111100100
312102000212001
422331233210
51213434330
6141335044
733301000
oct12755744
95360761
102874340
111693597
12b67484
137983c1
1454b700
153bb9ca
hex2bdbe4

2874340 has 48 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 983136.

The previous prime is 2874337. The next prime is 2874353. The reversal of 2874340 is 434782.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2874299 and 2874308.

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, 6651 + ... + 7069.

It is an arithmetic number, because the mean of its divisors is an integer number (147000).

22874340 is an apocalyptic number.

2874340 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 2874340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

2874340 is an abundant number, since it is smaller than the sum of its proper divisors (4181660).

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

2874340 is a wasteful number, since it uses less digits than its factorization.

2874340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2874340 is about 1695.3878612282. The cubic root of 2874340 is about 142.1824672775.

The spelling of 2874340 in words is "two million, eight hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 419 490 686 838 980 1372 1676 1715 2095 2933 3430 4190 5866 6860 8380 11732 14665 20531 29330 41062 58660 82124 102655 143717 205310 287434 410620 574868 718585 1437170 2874340