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29504340 = 22325198627
BaseRepresentation
bin111000010001…
…1001101010100
32001111222100100
41300203031110
530023114330
62532214100
7505532325
oct160431524
961458310
1029504340
1115722058
129a6a330
1361604b8
143cc044c
1528cc060
hex1c23354

29504340 has 72 divisors (see below), whose sum is σ = 94217760. Its totient is φ = 7452864.

The previous prime is 29504329. The next prime is 29504351. The reversal of 29504340 is 4340592.

It is an interprime number because it is at equal distance from previous prime (29504329) and next prime (29504351).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 894 + ... + 7733.

It is an arithmetic number, because the mean of its divisors is an integer number (1308580).

Almost surely, 229504340 is an apocalyptic number.

29504340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29504340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47108880).

29504340 is an abundant number, since it is smaller than the sum of its proper divisors (64713420).

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

29504340 is a wasteful number, since it uses less digits than its factorization.

29504340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8661 (or 8656 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 29504340 is about 5431.7897602908. The cubic root of 29504340 is about 309.0024821493.

The spelling of 29504340 in words is "twenty-nine million, five hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 8627 17254 25881 34508 43135 51762 77643 86270 103524 129405 155286 163913 172540 258810 310572 327826 388215 491739 517620 655652 776430 819565 983478 1475217 1552860 1639130 1966956 2458695 2950434 3278260 4917390 5900868 7376085 9834780 14752170 29504340