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3401204432 = 24318538039
BaseRepresentation
bin1100101010111010…
…0100001011010000
322210000222002100112
43022232210023100
523431202020212
61321255340452
7150166521623
oct31256441320
98700862315
103401204432
11149598925a
127ab081728
13422858102
14243a01dba
1514d8e4422
hexcaba42d0

3401204432 has 40 divisors (see below), whose sum is σ = 6811230720. Its totient is φ = 1643610240.

The previous prime is 3401204407. The next prime is 3401204437. The reversal of 3401204432 is 2344021043.

It is a junction number, because it is equal to n+sod(n) for n = 3401204398 and 3401204407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401204437) 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, 419069 + ... + 427107.

It is an arithmetic number, because the mean of its divisors is an integer number (170280768).

Almost surely, 23401204432 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 3401204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405615360).

3401204432 is an abundant number, since it is smaller than the sum of its proper divisors (3410026288).

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

3401204432 is a wasteful number, since it uses less digits than its factorization.

3401204432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8931 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3401204432 is about 58319.8459531573. The cubic root of 3401204432 is about 1503.8721338594.

Adding to 3401204432 its reverse (2344021043), we get a palindrome (5745225475).

The spelling of 3401204432 in words is "three billion, four hundred one million, two hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 62 124 248 496 853 1706 3412 6824 8039 13648 16078 26443 32156 52886 64312 105772 128624 211544 249209 423088 498418 996836 1993672 3987344 6857267 13714534 27429068 54858136 109716272 212575277 425150554 850301108 1700602216 3401204432