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3345022656 = 26341933961
BaseRepresentation
bin1100011101100000…
…1111111011000000
322122010020202110000
43013120033323000
523322311211111
61311531240000
7145615136433
oct30730177300
98563222400
103345022656
1114671a6038
127942a9000
13414017061
1423a37981a
151489e7c56
hexc760fec0

3345022656 has 140 divisors (see below), whose sum is σ = 10437881080. Its totient is φ = 1056291840.

The previous prime is 3345022633. The next prime is 3345022693. The reversal of 3345022656 is 6562205433.

3345022656 is a `hidden beast` number, since 334 + 50 + 226 + 56 = 666.

3345022656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33450226562 = 22378353138306588672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3345022656.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81516 + ... + 115476.

Almost surely, 23345022656 is an apocalyptic number.

3345022656 is a gapful number since it is divisible by the number (36) 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 3345022656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218940540).

3345022656 is an abundant number, since it is smaller than the sum of its proper divisors (7092858424).

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

3345022656 is a wasteful number, since it uses less digits than its factorization.

3345022656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34004 (or 33985 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3345022656 is about 57836.1708276058. The cubic root of 3345022656 is about 1495.5456978880.

The spelling of 3345022656 in words is "three billion, three hundred forty-five million, twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2592 2736 3078 3648 4104 5184 5472 6156 8208 10944 12312 16416 24624 32832 33961 49248 67922 98496 101883 135844 203766 271688 305649 407532 543376 611298 645259 815064 916947 1086752 1222596 1290518 1630128 1833894 1935777 2173504 2445192 2581036 2750841 3260256 3667788 3871554 4890384 5162072 5501682 5807331 6520512 7335576 7743108 9780768 10324144 11003364 11614662 14671152 15486216 17421993 19561536 20648288 22006728 23229324 29342304 30972432 34843986 41296576 44013456 46458648 52265979 58684608 61944864 69687972 88026912 92917296 104531958 123889728 139375944 176053824 185834592 209063916 278751888 371669184 418127832 557503776 836255664 1115007552 1672511328 3345022656