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34993080 = 2333532401
BaseRepresentation
bin1000010101111…
…1001110111000
32102211211111000
42011133032320
532424234310
63250005000
7603302433
oct205371670
972754430
1034993080
1118830901
12b876760
137332885
14490c81a
1531134c0
hex215f3b8

34993080 has 64 divisors (see below), whose sum is σ = 116647200. Its totient is φ = 9331200.

The previous prime is 34993067. The next prime is 34993081. The reversal of 34993080 is 8039943.

34993080 is a `hidden beast` number, since 349 + 9 + 308 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34993081) 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, 15121 + ... + 17280.

Almost surely, 234993080 is an apocalyptic number.

34993080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34993080 is an abundant number, since it is smaller than the sum of its proper divisors (81654120).

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

34993080 is a wasteful number, since it uses less digits than its factorization.

34993080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32421 (or 32411 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34993080 is about 5915.4949074443. The cubic root of 34993080 is about 327.0850717133.

The spelling of 34993080 in words is "thirty-four million, nine hundred ninety-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 32401 64802 97203 129604 162005 194406 259208 291609 324010 388812 486015 583218 648020 777624 874827 972030 1166436 1296040 1458045 1749654 1944060 2332872 2916090 3499308 3888120 4374135 5832180 6998616 8748270 11664360 17496540 34993080