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3442641400 = 2352111564837
BaseRepresentation
bin1100110100110010…
…1000100111111000
322212220221022012001
43031030220213320
524022304011100
61325335430344
7151211653252
oct31514504770
98786838161
103442641400
111507310490
12800b253b4
1342b305a23
1424930acd2
1515237bd6a
hexcd3289f8

3442641400 has 48 divisors (see below), whose sum is σ = 8731796040. Its totient is φ = 1251868800.

The previous prime is 3442641343. The next prime is 3442641437. The reversal of 3442641400 is 41462443.

3442641400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780219 + ... + 784618.

Almost surely, 23442641400 is an apocalyptic number.

It is an amenable number.

3442641400 is an abundant number, since it is smaller than the sum of its proper divisors (5289154640).

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

3442641400 is a wasteful number, since it uses less digits than its factorization.

3442641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564864 (or 1564855 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 3442641400 is about 58674.0266216663. The cubic root of 3442641400 is about 1509.9547374705.

The spelling of 3442641400 in words is "three billion, four hundred forty-two million, six hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 1564837 3129674 6259348 7824185 12518696 15648370 17213207 31296740 34426414 39120925 62593480 68852828 78241850 86066035 137705656 156483700 172132070 312967400 344264140 430330175 688528280 860660350 1721320700 3442641400