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3364086642 = 237711995669
BaseRepresentation
bin1100100010000011…
…1110001101110010
322200110010022022120
43020200332031302
523342201233032
61313452015110
7146236156530
oct31040761562
98613108276
103364086642
111476a370a4
1279a761496
13417c60417
1423cadd150
1514a51162c
hexc883e372

3364086642 has 64 divisors (see below), whose sum is σ = 7838208000. Its totient is φ = 942701760.

The previous prime is 3364086601. The next prime is 3364086643. The reversal of 3364086642 is 2466804633.

It is a happy number.

It is a super-2 number, since 2×33640866422 = 22634157869765672328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3364086594 and 3364086603.

It is not an unprimeable number, because it can be changed into a prime (3364086643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590584 + ... + 596252.

It is an arithmetic number, because the mean of its divisors is an integer number (122472000).

Almost surely, 23364086642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3364086642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104000).

3364086642 is an abundant number, since it is smaller than the sum of its proper divisors (4474121358).

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

3364086642 is a wasteful number, since it uses less digits than its factorization.

3364086642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951.

The product of its (nonzero) digits is 497664, while the sum is 42.

The square root of 3364086642 is about 58000.7469089839. The cubic root of 3364086642 is about 1498.3814604034.

The spelling of 3364086642 in words is "three billion, three hundred sixty-four million, eighty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 71 142 199 213 398 426 497 597 994 1194 1393 1491 2786 2982 4179 5669 8358 11338 14129 17007 28258 34014 39683 42387 79366 84774 98903 119049 197806 238098 296709 402499 593418 804998 1128131 1207497 2256262 2414994 2817493 3384393 5634986 6768786 7896917 8452479 15793834 16904958 23690751 47381502 80097301 160194602 240291903 480583806 560681107 1121362214 1682043321 3364086642