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3373479984 = 243729461751
BaseRepresentation
bin1100100100010011…
…0011100000110000
322201002210112120010
43021010303200300
523402102324414
61314425214520
7146412051420
oct31104634060
98632715503
103373479984
111481272496
127a1931440
13419b9bb04
14240066480
1514b269959
hexc9133830

3373479984 has 160 divisors (see below), whose sum is σ = 10339338240. Its totient is φ = 927360000.

The previous prime is 3373479973. The next prime is 3373480031. The reversal of 3373479984 is 4899743733.

It is a happy number.

It is a super-2 number, since 2×33734799842 = 22760734404897280512, which contains 22 as substring.

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, 4491609 + ... + 4492359.

It is an arithmetic number, because the mean of its divisors is an integer number (64620864).

Almost surely, 23373479984 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 3373479984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169669120).

3373479984 is an abundant number, since it is smaller than the sum of its proper divisors (6965858256).

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

3373479984 is a wasteful number, since it uses less digits than its factorization.

3373479984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1253 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 57.

The square root of 3373479984 is about 58081.6665050169. Note that the first 3 decimals coincide. The cubic root of 3373479984 is about 1499.7747786297.

The spelling of 3373479984 in words is "three billion, three hundred seventy-three million, four hundred seventy-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 461 464 609 696 751 812 922 1218 1383 1392 1502 1624 1844 2253 2436 2766 3004 3227 3248 3688 4506 4872 5257 5532 6008 6454 7376 9012 9681 9744 10514 11064 12016 12908 13369 15771 18024 19362 21028 21779 22128 25816 26738 31542 36048 38724 40107 42056 43558 51632 53476 63084 65337 77448 80214 84112 87116 93583 106952 126168 130674 152453 154896 160428 174232 187166 213904 252336 261348 280749 304906 320856 346211 348464 374332 457359 522696 561498 609812 641712 692422 748664 914718 1038633 1045392 1122996 1219624 1384844 1497328 1829436 2077266 2245992 2423477 2439248 2769688 3658872 4154532 4491984 4846954 5539376 7270431 7317744 8309064 9693908 10040119 14540862 16618128 19387816 20080238 29081724 30120357 38775632 40160476 58163448 60240714 70280833 80320952 116326896 120481428 140561666 160641904 210842499 240962856 281123332 421684998 481925712 562246664 843369996 1124493328 1686739992 3373479984