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3423430332 = 2234710714107
BaseRepresentation
bin1100110000001101…
…0110011010111100
322211120210021120000
43030003112122330
524002344232312
61323411554300
7150556451310
oct31403263274
98746707500
103423430332
1114a7489973
127b65bb990
1342733a72a
14246949b40
15150834adc
hexcc0d66bc

3423430332 has 120 divisors (see below), whose sum is σ = 10324347264. Its totient is φ = 968912928.

The previous prime is 3423430327. The next prime is 3423430397. The reversal of 3423430332 is 2330343243.

3423430332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3423430296 and 3423430305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235623 + ... + 249729.

Almost surely, 23423430332 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 3423430332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162173632).

3423430332 is an abundant number, since it is smaller than the sum of its proper divisors (6900916932).

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

3423430332 is a wasteful number, since it uses less digits than its factorization.

3423430332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14237 (or 14226 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

The square root of 3423430332 is about 58510.0874379794. The cubic root of 3423430332 is about 1507.1408158887.

Adding to 3423430332 its reverse (2330343243), we get a palindrome (5753773575).

The spelling of 3423430332 in words is "three billion, four hundred twenty-three million, four hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 107 108 126 162 189 214 252 321 324 378 428 567 642 749 756 963 1134 1284 1498 1926 2247 2268 2889 2996 3852 4494 5778 6741 8667 8988 11556 13482 14107 17334 20223 26964 28214 34668 40446 42321 56428 60669 80892 84642 98749 121338 126963 169284 197498 242676 253926 296247 380889 394996 507852 592494 761778 888741 1142667 1184988 1509449 1523556 1777482 2285334 2666223 3018898 3554964 4528347 4570668 5332446 6037796 7998669 9056694 10566143 10664892 13585041 15997338 18113388 21132286 27170082 31698429 31994676 40755123 42264572 54340164 63396858 81510246 95095287 122265369 126793716 163020492 190190574 244530738 285285861 380381148 489061476 570571722 855857583 1141143444 1711715166 3423430332