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34929930 = 2357473539
BaseRepresentation
bin1000010100111…
…1110100001010
32102201121212010
42011033310022
532420224210
63244400350
7602620350
oct205176412
972647763
1034929930
1118798412
12b8460b6
13730cbc9
1448d37d0
1530ee920
hex214fd0a

34929930 has 64 divisors (see below), whose sum is σ = 97873920. Its totient is φ = 7811904.

The previous prime is 34929899. The next prime is 34929943. The reversal of 34929930 is 3992943.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8101 + ... + 11639.

It is an arithmetic number, because the mean of its divisors is an integer number (1529280).

Almost surely, 234929930 is an apocalyptic number.

34929930 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 34929930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48936960).

34929930 is an abundant number, since it is smaller than the sum of its proper divisors (62943990).

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

34929930 is a wasteful number, since it uses less digits than its factorization.

34929930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603.

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 34929930 is about 5910.1548203072. The cubic root of 34929930 is about 326.8881960266. Note that the first 3 decimals are identical.

The spelling of 34929930 in words is "thirty-four million, nine hundred twenty-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 3290 3539 4935 7078 9870 10617 17695 21234 24773 35390 49546 53085 74319 106170 123865 148638 166333 247730 332666 371595 498999 743190 831665 997998 1164331 1663330 2328662 2494995 3492993 4989990 5821655 6985986 11643310 17464965 34929930