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3434676 = 2237311319
BaseRepresentation
bin1101000110100010110100
320110111111020
431012202310
51334402201
6201341140
741123430
oct15064264
96414436
103434676
111a36583
1211977b0
1393346b
146559c0
1547ca36
hex3468b4

3434676 has 48 divisors (see below), whose sum is σ = 9461760. Its totient is φ = 948960.

The previous prime is 3434671. The next prime is 3434677. The reversal of 3434676 is 6764343.

3434676 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434671) 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, 1945 + ... + 3263.

It is an arithmetic number, because the mean of its divisors is an integer number (197120).

Almost surely, 23434676 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 3434676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730880).

3434676 is an abundant number, since it is smaller than the sum of its proper divisors (6027084).

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

3434676 is a wasteful number, since it uses less digits than its factorization.

3434676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1362 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 3434676 is about 1853.2878891311. The cubic root of 3434676 is about 150.8789287251.

The spelling of 3434676 in words is "three million, four hundred thirty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 1319 2604 2638 3957 5276 7914 9233 15828 18466 27699 36932 40889 55398 81778 110796 122667 163556 245334 286223 490668 572446 858669 1144892 1717338 3434676