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334261404 = 22343727883
BaseRepresentation
bin10011111011000…
…110110010011100
3212021222020110000
4103323012302130
51141032331104
653100214300
711166114021
oct2373066234
9767866400
10334261404
111617555a4
1293b3a390
1354335619
1432571548
151e52a639
hex13ec6c9c

334261404 has 60 divisors (see below), whose sum is σ = 897474424. Its totient is φ = 108405216.

The previous prime is 334261399. The next prime is 334261409. The reversal of 334261404 is 404162433.

334261404 is a `hidden beast` number, since 3 + 3 + 42 + 614 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (334261399) and next prime (334261409).

It is a super-2 number, since 2×3342614042 = 223461372408102432, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334261409) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1954 + ... + 25929.

Almost surely, 2334261404 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 334261404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448737212).

334261404 is an abundant number, since it is smaller than the sum of its proper divisors (563213020).

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

334261404 is a wasteful number, since it uses less digits than its factorization.

334261404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27936 (or 27925 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 334261404 is about 18282.8171789798. The cubic root of 334261404 is about 694.0041663302.

It can be divided in two parts, 3342 and 61404, that added together give a palindrome (64746).

The spelling of 334261404 in words is "three hundred thirty-four million, two hundred sixty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 27883 55766 83649 111532 167298 250947 334596 501894 752841 1003788 1031671 1505682 2063342 2258523 3011364 3095013 4126684 4517046 6190026 9034092 9285039 12380052 18570078 27855117 37140156 55710234 83565351 111420468 167130702 334261404