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34920500 = 2253211331
BaseRepresentation
bin1000010100110…
…1100000110100
32102201010220212
42011031200310
532414424000
63244244552
7602551016
oct205154064
972633825
1034920500
111879131a
12b840758
137308824
1448d01b6
1530ebc35
hex214d834

34920500 has 48 divisors (see below), whose sum is σ = 76859328. Its totient is φ = 13860000.

The previous prime is 34920497. The next prime is 34920521. The reversal of 34920500 is 502943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105335 + ... + 105665.

It is an arithmetic number, because the mean of its divisors is an integer number (1601236).

Almost surely, 234920500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34920500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38429664).

34920500 is an abundant number, since it is smaller than the sum of its proper divisors (41938828).

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

34920500 is a wasteful number, since it uses less digits than its factorization.

34920500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 34920500 is about 5909.3569870164. The cubic root of 34920500 is about 326.8587768138.

The spelling of 34920500 in words is "thirty-four million, nine hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 211 250 331 422 500 662 844 1055 1324 1655 2110 3310 4220 5275 6620 8275 10550 16550 21100 26375 33100 41375 52750 69841 82750 105500 139682 165500 279364 349205 698410 1396820 1746025 3492050 6984100 8730125 17460250 34920500