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34612980 = 2235576883
BaseRepresentation
bin1000010000001…
…0011011110100
32102010112002020
42010002123310
532330103410
63233513140
7600130323
oct204023364
972115066
1034612980
11185a1276
12b7127b0
13722b86c
1448500ba
15308aa70
hex21026f4

34612980 has 24 divisors (see below), whose sum is σ = 96916512. Its totient is φ = 9230112.

The previous prime is 34612973. The next prime is 34612987. The reversal of 34612980 is 8921643.

It is an interprime number because it is at equal distance from previous prime (34612973) and next prime (34612987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34612987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288382 + ... + 288501.

It is an arithmetic number, because the mean of its divisors is an integer number (4038188).

Almost surely, 234612980 is an apocalyptic number.

34612980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34612980 is an abundant number, since it is smaller than the sum of its proper divisors (62303532).

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

34612980 is a wasteful number, since it uses less digits than its factorization.

34612980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576895 (or 576893 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 34612980 is about 5883.2796975837. The cubic root of 34612980 is about 325.8964755906.

It can be divided in two parts, 3461 and 2980, that added together give a triangular number (6441 = T113).

The spelling of 34612980 in words is "thirty-four million, six hundred twelve thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 576883 1153766 1730649 2307532 2884415 3461298 5768830 6922596 8653245 11537660 17306490 34612980