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3400133040 = 243254722407
BaseRepresentation
bin1100101010101001…
…1110100110110000
322202221221122200100
43022222132212300
523430413224130
61321220352400
7150154440213
oct31252364660
98687848610
103400133040
111495317307
127aa845700
13422571555
1424380377a
1514d781c60
hexcaa9e9b0

3400133040 has 60 divisors (see below), whose sum is σ = 11418782544. Its totient is φ = 906701952.

The previous prime is 3400133017. The next prime is 3400133057. The reversal of 3400133040 is 403310043.

3400133040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2360484 + ... + 2361923.

Almost surely, 23400133040 is an apocalyptic number.

3400133040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3400133040 is an abundant number, since it is smaller than the sum of its proper divisors (8018649504).

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

3400133040 is a wasteful number, since it uses less digits than its factorization.

3400133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722426 (or 4722417 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3400133040 is about 58310.6597458818. The cubic root of 3400133040 is about 1503.7142088442.

Adding to 3400133040 its reverse (403310043), we get a palindrome (3803443083).

The spelling of 3400133040 in words is "three billion, four hundred million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4722407 9444814 14167221 18889628 23612035 28334442 37779256 42501663 47224070 56668884 70836105 75558512 85003326 94448140 113337768 141672210 170006652 188896280 212508315 226675536 283344420 340013304 377792560 425016630 566688840 680026608 850033260 1133377680 1700066520 3400133040