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3355404 = 22313137157
BaseRepresentation
bin1100110011001100001100
320022110202020
430303030030
51324333104
6155530140
740343343
oct14631414
96273666
103355404
111991a68
121159950
13906360
14634b5a
154642d9
hex33330c

3355404 has 48 divisors (see below), whose sum is σ = 8547168. Its totient is φ = 1018368.

The previous prime is 3355403. The next prime is 3355411. The reversal of 3355404 is 4045533.

It is a happy number.

It is a super-3 number, since 3×33554043 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3355403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21294 + ... + 21450.

It is an arithmetic number, because the mean of its divisors is an integer number (178066).

Almost surely, 23355404 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 3355404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273584).

3355404 is an abundant number, since it is smaller than the sum of its proper divisors (5191764).

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

3355404 is a wasteful number, since it uses less digits than its factorization.

3355404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 3355404 is about 1831.7761872019. The cubic root of 3355404 is about 149.7091251992.

The spelling of 3355404 in words is "three million, three hundred fifty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 157 274 314 411 471 548 628 822 942 1644 1781 1884 2041 3562 4082 5343 6123 7124 8164 10686 12246 21372 21509 24492 43018 64527 86036 129054 258108 279617 559234 838851 1118468 1677702 3355404