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3433929312 = 253113978191
BaseRepresentation
bin1100110010101101…
…1001101001100000
322212022112200110010
43030223121221200
524013041214222
61324425004520
7151044626502
oct31453315140
98768480403
103433929312
1115023aaa10
127ba023740
13429575448
142480bdd72
1515170a80c
hexccad9a60

3433929312 has 96 divisors (see below), whose sum is σ = 9859497984. Its totient is φ = 1037836800.

The previous prime is 3433929281. The next prime is 3433929347. The reversal of 3433929312 is 2139293343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415137 + ... + 423327.

It is an arithmetic number, because the mean of its divisors is an integer number (102703104).

Almost surely, 23433929312 is an apocalyptic number.

3433929312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3433929312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929748992).

3433929312 is an abundant number, since it is smaller than the sum of its proper divisors (6425568672).

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

3433929312 is a wasteful number, since it uses less digits than its factorization.

3433929312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612 (or 8604 counting only the distinct ones).

The product of its digits is 104976, while the sum is 39.

The square root of 3433929312 is about 58599.7381564116. The cubic root of 3433929312 is about 1508.6799439437.

The spelling of 3433929312 in words is "three billion, four hundred thirty-three million, nine hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 397 528 794 1056 1191 1588 2382 3176 4367 4764 6352 8191 8734 9528 12704 13101 16382 17468 19056 24573 26202 32764 34936 38112 49146 52404 65528 69872 90101 98292 104808 131056 139744 180202 196584 209616 262112 270303 360404 393168 419232 540606 720808 786336 1081212 1441616 2162424 2883232 3251827 4324848 6503654 8649696 9755481 13007308 19510962 26014616 35770097 39021924 52029232 71540194 78043848 104058464 107310291 143080388 156087696 214620582 286160776 312175392 429241164 572321552 858482328 1144643104 1716964656 3433929312