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3429444304 = 24111310331451
BaseRepresentation
bin1100110001101001…
…0010101011010000
322212000002211011201
43030122102223100
524010414204204
61324144520544
7150661536616
oct31432225320
98760084151
103429444304
1114aa9172a0
127b8620154
13428664bb0
142476736b6
151511219a4
hexcc692ad0

3429444304 has 80 divisors (see below), whose sum is σ = 7819124544. Its totient is φ = 1436544000.

The previous prime is 3429444301. The next prime is 3429444377. The reversal of 3429444304 is 4034449243.

It is a super-2 number, since 2×34294443042 = 23522176468476088832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429444301) 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, 2362779 + ... + 2364229.

Almost surely, 23429444304 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 3429444304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909562272).

3429444304 is an abundant number, since it is smaller than the sum of its proper divisors (4389680240).

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

3429444304 is a wasteful number, since it uses less digits than its factorization.

3429444304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

The square root of 3429444304 is about 58561.4574955235. The cubic root of 3429444304 is about 1508.0228357163.

The spelling of 3429444304 in words is "three billion, four hundred twenty-nine million, four hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1033 1144 1451 2066 2288 2902 4132 5804 8264 11363 11608 13429 15961 16528 18863 22726 23216 26858 31922 37726 45452 53716 63844 75452 90904 107432 127688 147719 150904 181808 207493 214864 255376 295438 301808 414986 590876 829972 1181752 1498883 1659944 2363504 2997766 3319888 5995532 11991064 16487713 19485479 23982128 32975426 38970958 65950852 77941916 131901704 155883832 214340269 263803408 311767664 428680538 857361076 1714722152 3429444304