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34640190 = 23351371139
BaseRepresentation
bin1000010000100…
…1000100111110
32102011220102000
42010021010332
532331441230
63234243130
7600302544
oct204110476
972156360
1034640190
111860a762
12b7264a6
13723b070
144859d94
153093b60
hex210913e

34640190 has 128 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 8346240.

The previous prime is 34640189. The next prime is 34640191. The reversal of 34640190 is 9104643.

34640190 is a `hidden beast` number, since 3 + 4 + 640 + 19 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34640189) and next prime (34640191).

It is a super-2 number, since 2×346401902 = 2399885526472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34640191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249141 + ... + 249279.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 234640190 is an apocalyptic number.

34640190 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 34640190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

34640190 is an abundant number, since it is smaller than the sum of its proper divisors (66966210).

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

34640190 is a wasteful number, since it uses less digits than its factorization.

34640190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34640190 is about 5885.5917289598. The cubic root of 34640190 is about 325.9818512737.

The spelling of 34640190 in words is "thirty-four million, six hundred forty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 71 78 90 117 130 135 139 142 195 213 234 270 278 351 355 390 417 426 585 639 695 702 710 834 923 1065 1170 1251 1278 1390 1755 1807 1846 1917 2085 2130 2502 2769 3195 3510 3614 3753 3834 4170 4615 5421 5538 6255 6390 7506 8307 9035 9230 9585 9869 10842 12510 13845 16263 16614 18070 18765 19170 19738 24921 27105 27690 29607 32526 37530 41535 48789 49345 49842 54210 59214 81315 83070 88821 97578 98690 124605 128297 148035 162630 177642 243945 249210 256594 266463 296070 384891 444105 487890 532926 641485 769782 888210 1154673 1282970 1332315 1924455 2309346 2664630 3464019 3848910 5773365 6928038 11546730 17320095 34640190