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3394928700 = 223552139709
BaseRepresentation
bin1100101001011010…
…1000000000111100
322202121011020200000
43022112220000330
523423100204300
61320513034300
7150062263212
oct31226500074
98677136600
103394928700
1114923921a9
127a8b55990
1342146b767
14242c4acb2
1514d0a4c00
hexca5a803c

3394928700 has 108 divisors (see below), whose sum is σ = 11035413480. Its totient is φ = 905307840.

The previous prime is 3394928653. The next prime is 3394928707. The reversal of 3394928700 is 78294933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394928707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45555 + ... + 94154.

Almost surely, 23394928700 is an apocalyptic number.

3394928700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3394928700 is an abundant number, since it is smaller than the sum of its proper divisors (7640484780).

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

3394928700 is a wasteful number, since it uses less digits than its factorization.

3394928700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139738 (or 139719 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3394928700 is about 58266.0166821107. The cubic root of 3394928700 is about 1502.9466078778.

The spelling of 3394928700 in words is "three billion, three hundred ninety-four million, nine hundred twenty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1215 1350 1620 2025 2430 2700 4050 4860 6075 8100 12150 24300 139709 279418 419127 558836 698545 838254 1257381 1397090 1676508 2095635 2514762 2794180 3492725 3772143 4191270 5029524 6286905 6985450 7544286 8382540 10478175 11316429 12573810 13970900 15088572 18860715 20956350 22632858 25147620 31434525 33949287 37721430 41912700 45265716 56582145 62869050 67898574 75442860 94303575 113164290 125738100 135797148 169746435 188607150 226328580 282910725 339492870 377214300 565821450 678985740 848732175 1131642900 1697464350 3394928700