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3400096 = 25743353
BaseRepresentation
bin1100111110000110100000
320101202001111
430332012200
51332300341
6200513104
740620550
oct14760640
96352044
103400096
111a125a7
12117b794
139207bb
14647160
15472681
hex33e1a0

3400096 has 48 divisors (see below), whose sum is σ = 7850304. Its totient is φ = 1419264.

The previous prime is 3400093. The next prime is 3400097. The reversal of 3400096 is 6900043.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9456 + ... + 9808.

It is an arithmetic number, because the mean of its divisors is an integer number (163548).

Almost surely, 23400096 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 3400096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925152).

3400096 is an abundant number, since it is smaller than the sum of its proper divisors (4450208).

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

3400096 is a wasteful number, since it uses less digits than its factorization.

3400096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 3400096 is about 1843.9349229298. The cubic root of 3400096 is about 150.3708748492.

The spelling of 3400096 in words is "three million, four hundred thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 353 602 688 706 1204 1376 1412 2408 2471 2824 4816 4942 5648 9632 9884 11296 15179 19768 30358 39536 60716 79072 106253 121432 212506 242864 425012 485728 850024 1700048 3400096