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3534382980 = 2232582723743
BaseRepresentation
bin1101001010101010…
…0110011110000100
3100010022120020222100
43102222212132010
524214300223410
61342414032100
7153404521362
oct32252463604
910108506870
103534382980
111554081277
128277a8630
1344431759b
1425758c632
1515a44e8c0
hexd2aa6784

3534382980 has 72 divisors (see below), whose sum is σ = 10734377472. Its totient is φ = 941322816.

The previous prime is 3534382961. The next prime is 3534382997. The reversal of 3534382980 is 892834353.

3534382980 is a `hidden beast` number, since 3 + 534 + 38 + 2 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136989 + ... + 160731.

It is an arithmetic number, because the mean of its divisors is an integer number (149088576).

Almost surely, 23534382980 is an apocalyptic number.

3534382980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3534382980 is an abundant number, since it is smaller than the sum of its proper divisors (7199994492).

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

3534382980 is a wasteful number, since it uses less digits than its factorization.

3534382980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24585 (or 24580 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3534382980 is about 59450.6768674672. The cubic root of 3534382980 is about 1523.2500546874.

The spelling of 3534382980 in words is "three billion, five hundred thirty-four million, three hundred eighty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 827 1654 2481 3308 4135 4962 7443 8270 9924 12405 14886 16540 23743 24810 29772 37215 47486 49620 71229 74430 94972 118715 142458 148860 213687 237430 284916 356145 427374 474860 712290 854748 1068435 1424580 2136870 4273740 19635461 39270922 58906383 78541844 98177305 117812766 176719149 196354610 235625532 294531915 353438298 392709220 589063830 706876596 883595745 1178127660 1767191490 3534382980