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3823083324 = 22327112232
BaseRepresentation
bin1110001111011111…
…1001111100111100
3100212102210202101200
43203313321330330
530312202131244
61431205535500
7163511446344
oct34367717474
910772722350
103823083324
1116920380a5
128a8414590
1348c08a0a8
14283a5dd24
1517597a669
hexe3df9f3c

3823083324 has 54 divisors (see below), whose sum is σ = 9808036056. Its totient is φ = 1255385040.

The previous prime is 3823083287. The next prime is 3823083343. The reversal of 3823083324 is 4233803283.

It is a happy number.

It is a super-2 number, since 2×38230833242 = 29231932204493777952, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3125377 + ... + 3126599.

Almost surely, 23823083324 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 3823083324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904018028).

3823083324 is an abundant number, since it is smaller than the sum of its proper divisors (5984952732).

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

3823083324 is a wasteful number, since it uses less digits than its factorization.

3823083324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3823083324 is about 61831.0870355681. The cubic root of 3823083324 is about 1563.6441385051.

The spelling of 3823083324 in words is "three billion, eight hundred twenty-three million, eighty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1223 1278 2446 2556 3669 4892 7338 11007 14676 22014 44028 86833 173666 260499 347332 520998 781497 1041996 1495729 1562994 2991458 3125988 4487187 5982916 8974374 13461561 17948748 26923122 53846244 106196759 212393518 318590277 424787036 637180554 955770831 1274361108 1911541662 3823083324