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3397164992 = 26132443709
BaseRepresentation
bin1100101001111100…
…1001111111000000
322202202100212021122
43022133021333000
523424133234432
61321033011412
7150120266054
oct31237117700
98682325248
103397164992
11149367a381
127a9853b68
13421a72600
1424326dc64
1514d397612
hexca7c9fc0

3397164992 has 84 divisors (see below), whose sum is σ = 7326492840. Its totient is φ = 1562176512.

The previous prime is 3397164973. The next prime is 3397165001. The reversal of 3397164992 is 2994617933.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4791134 + ... + 4791842.

Almost surely, 23397164992 is an apocalyptic number.

3397164992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3397164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663246420).

3397164992 is an abundant number, since it is smaller than the sum of its proper divisors (3929327848).

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

3397164992 is a wasteful number, since it uses less digits than its factorization.

3397164992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1167 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 53.

The square root of 3397164992 is about 58285.2038857204. The cubic root of 3397164992 is about 1503.2765401636.

The spelling of 3397164992 in words is "three billion, three hundred ninety-seven million, one hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 443 676 709 832 886 1352 1418 1772 2704 2836 3544 5408 5672 5759 7088 9217 10816 11344 11518 14176 18434 22688 23036 28352 36868 45376 46072 73736 74867 92144 119821 147472 149734 184288 239642 294944 299468 314087 368576 479284 589888 598936 628174 958568 1197872 1256348 1917136 2395744 2512696 3834272 4083131 4791488 5025392 7668544 8166262 10050784 16332524 20101568 32665048 53080703 65330096 106161406 130660192 212322812 261320384 424645624 849291248 1698582496 3397164992