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3423401400 = 233528368743
BaseRepresentation
bin1100110000001100…
…1111010110111000
322211120201210212110
43030003033112320
524002342321100
61323411212320
7150556301046
oct31403172670
98746653773
103423401400
1114a746a161
127b65a70a0
1342732a503
1424693d396
1515082b250
hexcc0cf5b8

3423401400 has 96 divisors (see below), whose sum is σ = 10740562560. Its totient is φ = 901895040.

The previous prime is 3423401341. The next prime is 3423401461. The reversal of 3423401400 is 41043243.

3423401400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 15429 + ... + 84171.

It is an arithmetic number, because the mean of its divisors is an integer number (111880860).

Almost surely, 23423401400 is an apocalyptic number.

3423401400 is a gapful number since it is divisible by the number (30) 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 3423401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370281280).

3423401400 is an abundant number, since it is smaller than the sum of its proper divisors (7317161160).

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

3423401400 is a wasteful number, since it uses less digits than its factorization.

3423401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68845 (or 68836 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3423401400 is about 58509.8401980385. The cubic root of 3423401400 is about 1507.1365701745.

Adding to 3423401400 its reverse (41043243), we get a palindrome (3464444643).

The spelling of 3423401400 in words is "three billion, four hundred twenty-three million, four hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 3320 4150 4980 6225 8300 9960 12450 16600 24900 49800 68743 137486 206229 274972 343715 412458 549944 687430 824916 1031145 1374860 1649832 1718575 2062290 2749720 3437150 4124580 5155725 5705669 6874300 8249160 10311450 11411338 13748600 17117007 20622900 22822676 28528345 34234014 41245800 45645352 57056690 68468028 85585035 114113380 136936056 142641725 171170070 228226760 285283450 342340140 427925175 570566900 684680280 855850350 1141133800 1711700700 3423401400