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29834940 = 22351926171
BaseRepresentation
bin111000111001…
…1111010111100
32002010202211210
41301303322330
530114204230
62543244420
7511410222
oct161637274
962122753
1029834940
1115928483
129ba9710
136247b15
143d68b12
152944eb0
hex1c73ebc

29834940 has 48 divisors (see below), whose sum is σ = 87937920. Its totient is φ = 7536960.

The previous prime is 29834929. The next prime is 29834953. The reversal of 29834940 is 4943892.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 11946 + ... + 14225.

It is an arithmetic number, because the mean of its divisors is an integer number (1832040).

Almost surely, 229834940 is an apocalyptic number.

29834940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29834940 is an abundant number, since it is smaller than the sum of its proper divisors (58102980).

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

29834940 is a wasteful number, since it uses less digits than its factorization.

29834940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26202 (or 26200 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 29834940 is about 5462.1369444568. The cubic root of 29834940 is about 310.1523358123.

The spelling of 29834940 in words is "twenty-nine million, eight hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 26171 52342 78513 104684 130855 157026 261710 314052 392565 497249 523420 785130 994498 1491747 1570260 1988996 2486245 2983494 4972490 5966988 7458735 9944980 14917470 29834940