Search a number
-
+
4348874916 = 22322923792
BaseRepresentation
bin1000000110011011…
…01001000010100100
3102020002011201212100
410003031221002210
532401302444131
61555311252100
7212524553421
oct40315510244
912202151770
104348874916
111931910101
12a1451a030
13543ca2789
142d380ad48
151a6bda7e6
hex1033690a4

4348874916 has 81 divisors (see below), whose sum is σ = 11415248481. Its totient is φ = 1395944928.

The previous prime is 4348874909. The next prime is 4348874969. The reversal of 4348874916 is 6194788434.

The square root of 4348874916 is 65946.

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

4348874916 is a `hidden beast` number, since 4 + 3 + 488 + 74 + 91 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2280444516 + 2068430400 = 47754^2 + 45480^2 .

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, 11474415 + ... + 11474793.

Almost surely, 24348874916 is an apocalyptic number.

4348874916 is the 65946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4348874916

4348874916 is an abundant number, since it is smaller than the sum of its proper divisors (7066373565).

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

4348874916 is a wasteful number, since it uses less digits than its factorization.

4348874916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 413 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The cubic root of 4348874916 is about 1632.2711532231.

The spelling of 4348874916 in words is "four billion, three hundred forty-eight million, eight hundred seventy-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 379 522 758 841 1044 1137 1516 1682 2274 2523 3364 3411 4548 5046 6822 7569 10092 10991 13644 15138 21982 30276 32973 43964 65946 98919 131892 143641 197838 287282 318739 395676 430923 574564 637478 861846 956217 1274956 1292769 1723692 1912434 2585538 2868651 3824868 4165589 5171076 5737302 8331178 11474604 12496767 16662356 24993534 37490301 49987068 74980602 120802081 149961204 241604162 362406243 483208324 724812486 1087218729 1449624972 2174437458 4348874916