Search a number
-
+
3400956 = 223213343
BaseRepresentation
bin1100111110010011111100
320101210020100
430332103330
51332312311
6200521100
740623216
oct14762374
96353210
103400956
111a13209
121180190
13921000
146475b6
15472a56
hex33e4fc

3400956 has 72 divisors (see below), whose sum is σ = 9529520. Its totient is φ = 1022112.

The previous prime is 3400949. The next prime is 3400963. The reversal of 3400956 is 6590043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3400949) and next prime (3400963).

It is an Ulam number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79071 + ... + 79113.

Almost surely, 23400956 is an apocalyptic number.

3400956 is a gapful number since it is divisible by the number (36) 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 3400956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764760).

3400956 is an abundant number, since it is smaller than the sum of its proper divisors (6128564).

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

3400956 is a wasteful number, since it uses less digits than its factorization.

3400956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3400956 is about 1844.1681051358. The cubic root of 3400956 is about 150.3835517511.

Adding to 3400956 its reverse (6590043), we get a palindrome (9990999).

It can be divided in two parts, 3400 and 956, that added together give a square (4356 = 662).

The spelling of 3400956 in words is "three million, four hundred thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 169 172 234 258 338 387 468 507 516 559 676 774 1014 1118 1521 1548 1677 2028 2197 2236 3042 3354 4394 5031 6084 6591 6708 7267 8788 10062 13182 14534 19773 20124 21801 26364 29068 39546 43602 65403 79092 87204 94471 130806 188942 261612 283413 377884 566826 850239 1133652 1700478 3400956