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3379428 = 2233132983
BaseRepresentation
bin1100111001000011100100
320100200201000
430321003210
51331120203
6200233300
740503363
oct14710344
96320630
103379428
1119a9018
12116b830
13914280
1463d7da
1546b4a3
hex3390e4

3379428 has 96 divisors (see below), whose sum is σ = 9878400. Its totient is φ = 991872.

The previous prime is 3379427. The next prime is 3379429. The reversal of 3379428 is 8249733.

It is an interprime number because it is at equal distance from previous prime (3379427) and next prime (3379429).

It is a super-2 number, since 2×33794282 = 22841067214368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3379392 and 3379401.

It is not an unprimeable number, because it can be changed into a prime (3379427) 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, 40675 + ... + 40757.

It is an arithmetic number, because the mean of its divisors is an integer number (102900).

Almost surely, 23379428 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 3379428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939200).

3379428 is an abundant number, since it is smaller than the sum of its proper divisors (6498972).

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

3379428 is a wasteful number, since it uses less digits than its factorization.

3379428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3379428 is about 1838.3220610111. The cubic root of 3379428 is about 150.0655713318.

The spelling of 3379428 in words is "three million, three hundred seventy-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 83 87 108 116 117 156 166 174 234 249 261 332 348 351 377 468 498 522 702 747 754 783 996 1044 1079 1131 1404 1494 1508 1566 2158 2241 2262 2407 2988 3132 3237 3393 4316 4482 4524 4814 6474 6786 7221 8964 9628 9711 10179 12948 13572 14442 19422 20358 21663 28884 29133 31291 38844 40716 43326 58266 62582 64989 86652 93873 116532 125164 129978 187746 259956 281619 375492 563238 844857 1126476 1689714 3379428