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3428898408 = 2332137275039
BaseRepresentation
bin1100110001100000…
…1101011001101000
322211222002002100100
43030120031121220
524010244222113
61324125105400
7150654104235
oct31430153150
98758062310
103428898408
1114aa584141
127b83b8260
13428503590
1424757078c
15151064d73
hexcc60d668

3428898408 has 96 divisors (see below), whose sum is σ = 10016697600. Its totient is φ = 1053385344.

The previous prime is 3428898379. The next prime is 3428898413. The reversal of 3428898408 is 8048988243.

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, 677953 + ... + 682991.

It is an arithmetic number, because the mean of its divisors is an integer number (104340600).

Almost surely, 23428898408 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 3428898408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008348800).

3428898408 is an abundant number, since it is smaller than the sum of its proper divisors (6587799192).

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

3428898408 is a wasteful number, since it uses less digits than its factorization.

3428898408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5791 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 3428898408 is about 58556.7964287665. The cubic root of 3428898408 is about 1507.9428162102.

The spelling of 3428898408 in words is "three billion, four hundred twenty-eight million, eight hundred ninety-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 727 936 1454 2181 2908 4362 5039 5816 6543 8724 9451 10078 13086 15117 17448 18902 20156 26172 28353 30234 37804 40312 45351 52344 56706 60468 65507 75608 85059 90702 113412 120936 131014 170118 181404 196521 226824 262028 340236 362808 393042 524056 589563 680472 786084 1179126 1572168 2358252 3663353 4716504 7326706 10990059 14653412 21980118 29306824 32970177 43960236 47623589 65940354 87920472 95247178 131880708 142870767 190494356 263761416 285741534 380988712 428612301 571483068 857224602 1142966136 1714449204 3428898408