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3397296480 = 253511296269
BaseRepresentation
bin1100101001111110…
…1010000101100000
322202202121112122120
43022133222011200
523424201441410
61321035504240
7150121354314
oct31237520540
98682545576
103397296480
11149375a146
127a98b8080
13421aba406
142432a5b44
1514d3c1570
hexca7ea160

3397296480 has 96 divisors (see below), whose sum is σ = 10712671200. Its totient is φ = 904998912.

The previous prime is 3397296431. The next prime is 3397296481. The reversal of 3397296480 is 846927933.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3397296481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538786 + ... + 545054.

It is an arithmetic number, because the mean of its divisors is an integer number (111590325).

Almost surely, 23397296480 is an apocalyptic number.

3397296480 is a gapful number since it is divisible by the number (30) 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 3397296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356335600).

3397296480 is an abundant number, since it is smaller than the sum of its proper divisors (7315374720).

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

3397296480 is a wasteful number, since it uses less digits than its factorization.

3397296480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416 (or 7408 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 3397296480 is about 58286.3318454679. The cubic root of 3397296480 is about 1503.2959347938.

The spelling of 3397296480 in words is "three billion, three hundred ninety-seven million, two hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1129 2258 3387 4516 5645 6269 6774 9032 11290 12538 13548 16935 18064 18807 22580 25076 27096 31345 33870 36128 37614 45160 50152 54192 62690 67740 75228 90320 94035 100304 108384 125380 135480 150456 180640 188070 200608 250760 270960 300912 376140 501520 541920 601824 752280 1003040 1504560 3009120 7077701 14155402 21233103 28310804 35388505 42466206 56621608 70777010 84932412 106165515 113243216 141554020 169864824 212331030 226486432 283108040 339729648 424662060 566216080 679459296 849324120 1132432160 1698648240 3397296480