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3474640 = 245132257
BaseRepresentation
bin1101010000010011010000
320112112022101
431100103100
51342142030
6202250144
741351101
oct15202320
96475271
103474640
111a63604
1211b6954
13948700
146663a8
154897ca
hex3504d0

3474640 has 60 divisors (see below), whose sum is σ = 8781804. Its totient is φ = 1277952.

The previous prime is 3474631. The next prime is 3474641. The reversal of 3474640 is 464743.

3474640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 59536 + 3415104 = 244^2 + 1848^2 .

It is a d-powerful number, because it can be written as 313 + 46 + 77 + 46 + 6 + 410 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3474599 and 3474608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3474641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13392 + ... + 13648.

Almost surely, 23474640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3474640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390902).

3474640 is an abundant number, since it is smaller than the sum of its proper divisors (5307164).

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

3474640 is a wasteful number, since it uses less digits than its factorization.

3474640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 3474640 is about 1864.0386262092. The cubic root of 3474640 is about 151.4618550649.

It can be divided in two parts, 3474 and 640, that added together give a palindrome (4114).

The spelling of 3474640 in words is "three million, four hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 257 260 338 514 520 676 845 1028 1040 1285 1352 1690 2056 2570 2704 3341 3380 4112 5140 6682 6760 10280 13364 13520 16705 20560 26728 33410 43433 53456 66820 86866 133640 173732 217165 267280 347464 434330 694928 868660 1737320 3474640