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30836736 = 211327239
BaseRepresentation
bin111010110100…
…0100000000000
32011000200001100
41311220200000
530343233421
63020534400
7523052010
oct165504000
964020040
1030836736
1116452107
12a3b1400
136508ab8
144149c40
152a91c26
hex1d68800

30836736 has 144 divisors (see below), whose sum is σ = 102211200. Its totient is φ = 8773632.

The previous prime is 30836713. The next prime is 30836737. The reversal of 30836736 is 63763803.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30836736.

It is not an unprimeable number, because it can be changed into a prime (30836737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128905 + ... + 129143.

It is an arithmetic number, because the mean of its divisors is an integer number (709800).

Almost surely, 230836736 is an apocalyptic number.

30836736 is a gapful number since it is divisible by the number (36) 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 30836736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51105600).

30836736 is an abundant number, since it is smaller than the sum of its proper divisors (71374464).

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

30836736 is a wasteful number, since it uses less digits than its factorization.

30836736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 30836736 is about 5553.0834677682. The cubic root of 30836736 is about 313.5856164443.

The spelling of 30836736 in words is "thirty million, eight hundred thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 239 252 256 288 336 384 448 478 504 512 576 672 717 768 896 956 1008 1024 1152 1344 1434 1536 1673 1792 1912 2016 2048 2151 2304 2688 2868 3072 3346 3584 3824 4032 4302 4608 5019 5376 5736 6144 6692 7168 7648 8064 8604 9216 10038 10752 11472 13384 14336 15057 15296 16128 17208 18432 20076 21504 22944 26768 30114 30592 32256 34416 40152 43008 45888 53536 60228 61184 64512 68832 80304 91776 107072 120456 122368 129024 137664 160608 183552 214144 240912 244736 275328 321216 367104 428288 481824 489472 550656 642432 734208 856576 963648 1101312 1284864 1468416 1713152 1927296 2202624 2569728 3426304 3854592 4405248 5139456 7709184 10278912 15418368 30836736