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3414070528 = 28112694507
BaseRepresentation
bin1100101101111110…
…1001010100000000
322210221011202022121
43023133221110000
523443000224103
61322435214024
7150414056251
oct31337512400
98727152277
103414070528
1114a21767a0
127b3447314
1342541139b
142455d0b28
1514ead66bd
hexcb7e9500

3414070528 has 72 divisors (see below), whose sum is σ = 7463625120. Its totient is φ = 1545738240.

The previous prime is 3414070511. The next prime is 3414070529. The reversal of 3414070528 is 8250704143.

It is a junction number, because it is equal to n+sod(n) for n = 3414070493 and 3414070502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414070529) 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, 755251 + ... + 759757.

It is an arithmetic number, because the mean of its divisors is an integer number (103661460).

Almost surely, 23414070528 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 3414070528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731812560).

3414070528 is an abundant number, since it is smaller than the sum of its proper divisors (4049554592).

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

3414070528 is a wasteful number, since it uses less digits than its factorization.

3414070528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 3414070528 is about 58430.0481601718. The cubic root of 3414070528 is about 1505.7660332104.

The spelling of 3414070528 in words is "three billion, four hundred fourteen million, seventy thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 269 352 538 704 1076 1408 2152 2816 2959 4304 4507 5918 8608 9014 11836 17216 18028 23672 34432 36056 47344 49577 68864 72112 94688 99154 144224 189376 198308 288448 378752 396616 576896 757504 793232 1153792 1212383 1586464 2424766 3172928 4849532 6345856 9699064 12691712 13336213 19398128 26672426 38796256 53344852 77592512 106689704 155185024 213379408 310370048 426758816 853517632 1707035264 3414070528