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3426912 = 253273163
BaseRepresentation
bin1101000100101001100000
320110002211200
431010221200
51334130122
6201241200
741061666
oct15045140
96402750
103426912
111a30765
121193200
1392ca78
14652c36
1547a5ac
hex344a60

3426912 has 72 divisors (see below), whose sum is σ = 9939384. Its totient is φ = 1119744.

The previous prime is 3426887. The next prime is 3426937. The reversal of 3426912 is 2196243.

It is an interprime number because it is at equal distance from previous prime (3426887) and next prime (3426937).

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 20943 + ... + 21105.

It is an arithmetic number, because the mean of its divisors is an integer number (138047).

Almost surely, 23426912 is an apocalyptic number.

3426912 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 3426912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969692).

3426912 is an abundant number, since it is smaller than the sum of its proper divisors (6512472).

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

3426912 is a wasteful number, since it uses less digits than its factorization.

3426912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3426912 is about 1851.1920483840. The cubic root of 3426912 is about 150.7651569292.

The spelling of 3426912 in words is "three million, four hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 163 219 288 292 326 438 489 584 652 657 876 978 1168 1304 1314 1467 1752 1956 2336 2608 2628 2934 3504 3912 5216 5256 5868 7008 7824 10512 11736 11899 15648 21024 23472 23798 35697 46944 47596 71394 95192 107091 142788 190384 214182 285576 380768 428364 571152 856728 1142304 1713456 3426912