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34872880 = 245762273
BaseRepresentation
bin1000010100000…
…1111000110000
32102121201121011
42011001320300
532411413010
63243240304
7602262130
oct205017060
972551534
1034872880
1118759569
12b819094
1372bcc53
1448baac0
1530dca8a
hex2141e30

34872880 has 40 divisors (see below), whose sum is σ = 92663712. Its totient is φ = 11956224.

The previous prime is 34872811. The next prime is 34872881. The reversal of 34872880 is 8827843.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×348728802 = 2432235518988800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (34872881) 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, 30577 + ... + 31696.

Almost surely, 234872880 is an apocalyptic number.

It is an amenable number.

34872880 is an abundant number, since it is smaller than the sum of its proper divisors (57790832).

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

34872880 is a wasteful number, since it uses less digits than its factorization.

34872880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62293 (or 62287 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 34872880 is about 5905.3264092682. The cubic root of 34872880 is about 326.7101335098.

The spelling of 34872880 in words is "thirty-four million, eight hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 62273 124546 249092 311365 435911 498184 622730 871822 996368 1245460 1743644 2179555 2490920 3487288 4359110 4981840 6974576 8718220 17436440 34872880