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3400393128 = 2331112880277
BaseRepresentation
bin1100101010101101…
…1110000110101000
322202222102212110020
43022223132012220
523431000040003
61321230120440
7150156602406
oct31253360650
98688385406
103400393128
111495484760
127aa950120
13422632a52
14243870476
1514d7d3d53
hexcaade1a8

3400393128 has 32 divisors (see below), whose sum is σ = 9273800160. Its totient is φ = 1030422080.

The previous prime is 3400393111. The next prime is 3400393141. The reversal of 3400393128 is 8213930043.

It is a happy number.

3400393128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6439875 + ... + 6440402.

It is an arithmetic number, because the mean of its divisors is an integer number (289806255).

Almost surely, 23400393128 is an apocalyptic number.

It is an amenable number.

3400393128 is an abundant number, since it is smaller than the sum of its proper divisors (5873407032).

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

3400393128 is a wasteful number, since it uses less digits than its factorization.

3400393128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12880297 (or 12880293 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3400393128 is about 58312.8898958026. The cubic root of 3400393128 is about 1503.7525493096.

The spelling of 3400393128 in words is "three billion, four hundred million, three hundred ninety-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 12880277 25760554 38640831 51521108 77281662 103042216 141683047 154563324 283366094 309126648 425049141 566732188 850098282 1133464376 1700196564 3400393128