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33801012 = 223271131187
BaseRepresentation
bin1000000011110…
…0001100110100
32100121021021100
42000330030310
532123113022
63204250100
7560206140
oct200741464
970537240
1033801012
1118097223
12b3a0930
1370060cb
1446bc220
152e7a1ac
hex203c334

33801012 has 72 divisors (see below), whose sum is σ = 98594496. Its totient is φ = 9563904.

The previous prime is 33801011. The next prime is 33801029. The reversal of 33801012 is 21010833.

It is a super-2 number, since 2×338010122 = 2285016824448288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33801011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27883 + ... + 29069.

It is an arithmetic number, because the mean of its divisors is an integer number (1369368).

Almost surely, 233801012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33801012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49297248).

33801012 is an abundant number, since it is smaller than the sum of its proper divisors (64793484).

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

33801012 is a wasteful number, since it uses less digits than its factorization.

33801012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 33801012 is about 5813.8637754939. The cubic root of 33801012 is about 323.3279393533.

Adding to 33801012 its reverse (21010833), we get a palindrome (54811845).

The spelling of 33801012 in words is "thirty-three million, eight hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1187 1356 1582 2034 2373 2374 3164 3561 4068 4746 4748 7119 7122 8309 9492 10683 14238 14244 16618 21366 24927 28476 33236 42732 49854 74781 99708 134131 149562 268262 299124 402393 536524 804786 938917 1207179 1609572 1877834 2414358 2816751 3755668 4828716 5633502 8450253 11267004 16900506 33801012