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34750890 = 23351767113
BaseRepresentation
bin1000010010010…
…0000110101010
32102101112021000
42010210012222
532344012030
63240455430
7601243356
oct204440652
972345230
1034750890
1118685949
12b77a576
137279575
144888466
1530b6860
hex21241aa

34750890 has 128 divisors (see below), whose sum is σ = 100465920. Its totient is φ = 8515584.

The previous prime is 34750831. The next prime is 34750901. The reversal of 34750890 is 9805743.

34750890 = T28 + T29 + ... + T592.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307474 + ... + 307586.

It is an arithmetic number, because the mean of its divisors is an integer number (784890).

Almost surely, 234750890 is an apocalyptic number.

34750890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34750890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50232960).

34750890 is an abundant number, since it is smaller than the sum of its proper divisors (65715030).

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

34750890 is a wasteful number, since it uses less digits than its factorization.

34750890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 34750890 is about 5894.9885496072. The cubic root of 34750890 is about 326.3287298435.

The spelling of 34750890 in words is "thirty-four million, seven hundred fifty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 67 85 90 102 113 134 135 153 170 201 226 255 270 306 335 339 402 459 510 565 603 670 678 765 918 1005 1017 1130 1139 1206 1530 1695 1809 1921 2010 2034 2278 2295 3015 3051 3390 3417 3618 3842 4590 5085 5695 5763 6030 6102 6834 7571 9045 9605 10170 10251 11390 11526 15142 15255 17085 17289 18090 19210 20502 22713 28815 30510 30753 34170 34578 37855 45426 51255 51867 57630 61506 68139 75710 86445 102510 103734 113565 128707 136278 153765 172890 204417 227130 257414 259335 307530 340695 386121 408834 518670 643535 681390 772242 1022085 1158363 1287070 1930605 2044170 2316726 3475089 3861210 5791815 6950178 11583630 17375445 34750890