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33930036 = 22337371213
BaseRepresentation
bin1000000101101…
…1101100110100
32100211211021000
42001123230310
532141230121
63211123300
7561254250
oct201335464
970754230
1033930036
1118175158
12b443530
13704ca5a
144713260
152ea3526
hex205bb34

33930036 has 96 divisors (see below), whose sum is σ = 103335680. Its totient is φ = 9424512.

The previous prime is 33930031. The next prime is 33930047. The reversal of 33930036 is 63003933.

It is a super-2 number, since 2×339300362 = 2302494685922592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33929991 and 33930009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33930031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27366 + ... + 28578.

Almost surely, 233930036 is an apocalyptic number.

33930036 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 33930036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51667840).

33930036 is an abundant number, since it is smaller than the sum of its proper divisors (69405644).

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

33930036 is a wasteful number, since it uses less digits than its factorization.

33930036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

The square root of 33930036 is about 5824.9494418407. The cubic root of 33930036 is about 323.7388155724.

Adding to 33930036 its reverse (63003933), we get a palindrome (96933969).

The spelling of 33930036 in words is "thirty-three million, nine hundred thirty thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 378 444 518 666 756 777 999 1036 1213 1332 1554 1998 2331 2426 3108 3639 3996 4662 4852 6993 7278 8491 9324 10917 13986 14556 16982 21834 25473 27972 32751 33964 43668 44881 50946 65502 76419 89762 101892 131004 134643 152838 179524 229257 269286 305676 314167 403929 458514 538572 628334 807858 917028 942501 1211787 1256668 1615716 1885002 2423574 2827503 3770004 4847148 5655006 8482509 11310012 16965018 33930036