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3406941504 = 26328371263
BaseRepresentation
bin1100101100010001…
…1100110101000000
322210102202120010200
43023010130311000
523434134112004
61322022325200
7150266345031
oct31304346500
98712676120
103406941504
11149914763a
127b0b89800
13423ab6525
14244696a88
1514e179239
hexcb11cd40

3406941504 has 84 divisors (see below), whose sum is σ = 9883176576. Its totient is φ = 1121948928.

The previous prime is 3406941481. The next prime is 3406941511. The reversal of 3406941504 is 4051496043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12177 + ... + 83439.

It is an arithmetic number, because the mean of its divisors is an integer number (117656864).

Almost surely, 23406941504 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 3406941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941588288).

3406941504 is an abundant number, since it is smaller than the sum of its proper divisors (6476235072).

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

3406941504 is a wasteful number, since it uses less digits than its factorization.

3406941504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71364 (or 71351 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3406941504 is about 58369.0115043933. The cubic root of 3406941504 is about 1504.7172243123.

The spelling of 3406941504 in words is "three billion, four hundred six million, nine hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 664 747 996 1328 1494 1992 2656 2988 3984 5312 5976 7968 11952 15936 23904 47808 71263 142526 213789 285052 427578 570104 641367 855156 1140208 1282734 1710312 2280416 2565468 3420624 4560832 5130936 5914829 6841248 10261872 11829658 13682496 17744487 20523744 23659316 35488974 41047488 47318632 53233461 70977948 94637264 106466922 141955896 189274528 212933844 283911792 378549056 425867688 567823584 851735376 1135647168 1703470752 3406941504