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3421796992 = 27172233397
BaseRepresentation
bin1100101111110100…
…0111101010000000
322211110201022000221
43023331013222000
524001440000432
61323312552424
7150536536345
oct31375075200
98743638027
103421796992
1114a65737a9
127b5b52714
13426bb8163
142466427cc
15150610b97
hexcbf47a80

3421796992 has 96 divisors (see below), whose sum is σ = 7290838620. Its totient is φ = 1599307776.

The previous prime is 3421796953. The next prime is 3421797023. The reversal of 3421796992 is 2996971243.

It is a happy number.

3421796992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2449854016 + 971942976 = 49496^2 + 31176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8618938 + ... + 8619334.

Almost surely, 23421796992 is an apocalyptic number.

3421796992 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 3421796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645419310).

3421796992 is an abundant number, since it is smaller than the sum of its proper divisors (3869041628).

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

3421796992 is a wasteful number, since it uses less digits than its factorization.

3421796992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 649 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 52.

The square root of 3421796992 is about 58496.1280086127. The cubic root of 3421796992 is about 1506.9010889931.

The spelling of 3421796992 in words is "three billion, four hundred twenty-one million, seven hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 233 272 289 397 466 544 578 794 932 1088 1156 1588 1864 2176 2312 3176 3728 3961 4624 6352 6749 7456 7922 9248 12704 13498 14912 15844 18496 25408 26996 29824 31688 36992 50816 53992 63376 67337 92501 107984 114733 126752 134674 185002 215968 229466 253504 269348 370004 431936 458932 507008 538696 740008 863872 917864 1077392 1480016 1572517 1835728 2154784 2960032 3145034 3671456 4309568 5920064 6290068 7342912 8619136 11840128 12580136 14685824 25160272 26732789 50320544 53465578 100641088 106931156 201282176 213862312 427724624 855449248 1710898496 3421796992