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1601440324 = 221121721072
BaseRepresentation
bin101111101110100…
…0000101001000100
311010121101121010121
41133131000221010
511234432042244
6422524231324
754454006141
oct13735005104
94117347117
101601440324
11751a75900
1238839b544
131c6a1b533
1411298b3c8
15958d5c84
hex5f740a44

1601440324 has 81 divisors (see below), whose sum is σ = 3303187069. Its totient is φ = 678705280.

The previous prime is 1601440319. The next prime is 1601440331. The reversal of 1601440324 is 4230441061.

The square root of 1601440324 is 40018.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1246796100 + 354644224 = 35310^2 + 18832^2 .

It is a super-2 number, since 2×16014403242 = 5129222222666449952, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14966679 + ... + 14966785.

Almost surely, 21601440324 is an apocalyptic number.

1601440324 is the 40018-th square number.

It is an amenable number.

1601440324 is an abundant number, since it is smaller than the sum of its proper divisors (1701746745).

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

1601440324 is a wasteful number, since it uses less digits than its factorization.

1601440324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The cubic root of 1601440324 is about 1169.9579511028.

Multiplying 1601440324 by its sum of digits (25), we get a square (40036008100 = 2000902).

Multiplying 1601440324 by its product of nonzero digits (2304), we get a square (3689718506496 = 19208642).

Adding to 1601440324 its reverse (4230441061), we get a palindrome (5831881385).

The spelling of 1601440324 in words is "one billion, six hundred one million, four hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 44 68 107 121 187 214 242 289 374 428 484 578 748 1156 1177 1819 2057 2354 3179 3638 4114 4708 6358 7276 8228 11449 12716 12947 20009 22898 25894 30923 34969 40018 45796 51788 61846 69938 80036 123692 125939 139876 194633 220099 251878 340153 389266 440198 503756 680306 778532 880396 1360612 1385329 2140963 2770658 3308761 3741683 4281926 5541316 6617522 7483366 8563852 13235044 14966732 23550593 36396371 47101186 72792742 94202372 145585484 400360081 800720162 1601440324