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3413520252 = 2233237691787
BaseRepresentation
bin1100101101110110…
…0010111101111100
322210220010210111000
43023131202331330
523442330122002
61322415330300
7150406305042
oct31335427574
98726123430
103413520252
1114a193031a
127b3220990
1342527aa8c
142454ca392
1514ea2861c
hexcb762f7c

3413520252 has 96 divisors (see below), whose sum is σ = 9251827200. Its totient is φ = 1086345216.

The previous prime is 3413520241. The next prime is 3413520269. The reversal of 3413520252 is 2520253143.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1909303 + ... + 1911089.

It is an arithmetic number, because the mean of its divisors is an integer number (96373200).

Almost surely, 23413520252 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 3413520252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625913600).

3413520252 is an abundant number, since it is smaller than the sum of its proper divisors (5838306948).

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

3413520252 is a wasteful number, since it uses less digits than its factorization.

3413520252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3413520252 is about 58425.3391261018. The cubic root of 3413520252 is about 1505.6851296454.

Adding to 3413520252 its reverse (2520253143), we get a palindrome (5933773395).

The spelling of 3413520252 in words is "three billion, four hundred thirteen million, five hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 769 828 1242 1538 1787 2307 2484 3076 3574 4614 5361 6921 7148 9228 10722 13842 16083 17687 20763 21444 27684 32166 35374 41101 41526 48249 53061 64332 70748 82202 83052 96498 106122 123303 159183 164404 192996 212244 246606 318366 369909 477549 493212 636732 739818 955098 1109727 1374203 1479636 1910196 2219454 2748406 4122609 4438908 5496812 8245218 12367827 16490436 24735654 31606669 37103481 49471308 63213338 74206962 94820007 126426676 148413924 189640014 284460021 379280028 568920042 853380063 1137840084 1706760126 3413520252