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3414001332 = 22371031972003
BaseRepresentation
bin1100101101111101…
…1000011010110100
322210221001020101210
43023133120122310
523442441020312
61322433521420
7150413350440
oct31337303264
98727036353
103414001332
1114a2129805
127b3413270
134253b8a41
142455b3820
1514eac0e3c
hexcb7d86b4

3414001332 has 96 divisors (see below), whose sum is σ = 9243666432. Its totient is φ = 960575616.

The previous prime is 3414001303. The next prime is 3414001333. The reversal of 3414001332 is 2331004143.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3414001299 and 3414001308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414001333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703443 + ... + 1705445.

It is an arithmetic number, because the mean of its divisors is an integer number (96288192).

Almost surely, 23414001332 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 3414001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621833216).

3414001332 is an abundant number, since it is smaller than the sum of its proper divisors (5829665100).

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

3414001332 is a wasteful number, since it uses less digits than its factorization.

3414001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3414001332 is about 58429.4560303277. The cubic root of 3414001332 is about 1505.7558602425.

Adding to 3414001332 its reverse (2331004143), we get a palindrome (5745005475).

The spelling of 3414001332 in words is "three billion, four hundred fourteen million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 197 206 309 394 412 591 618 721 788 1182 1236 1379 1442 2003 2163 2364 2758 2884 4006 4137 4326 5516 6009 8012 8274 8652 12018 14021 16548 20291 24036 28042 40582 42063 56084 60873 81164 84126 121746 142037 168252 206309 243492 284074 394591 412618 426111 568148 618927 789182 825236 852222 1183773 1237854 1444163 1578364 1704444 2367546 2475708 2762137 2888326 4332489 4735092 5524274 5776652 8286411 8664978 11048548 16572822 17329956 33145644 40642873 81285746 121928619 162571492 243857238 284500111 487714476 569000222 853500333 1138000444 1707000666 3414001332