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3379419800 = 2352171952313
BaseRepresentation
bin1100100101101101…
…1101101010011000
322201111222022110022
43021123131222120
523410112413200
61315200410012
7146513410601
oct31133355230
98644868408
103379419800
11148465a129
127a3916908
1341b19b5b3
14240b70da8
1514ba3e885
hexc96dda98

3379419800 has 96 divisors (see below), whose sum is σ = 8757363600. Its totient is φ = 1205268480.

The previous prime is 3379419787. The next prime is 3379419809. The reversal of 3379419800 is 89149733.

It is a happy number.

It is a super-2 number, since 2×33794198002 = 22840956369264080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3379419809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38444 + ... + 90756.

Almost surely, 23379419800 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 3379419800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378681800).

3379419800 is an abundant number, since it is smaller than the sum of its proper divisors (5377943800).

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

3379419800 is a wasteful number, since it uses less digits than its factorization.

3379419800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52365 (or 52356 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 3379419800 is about 58132.7773291454. Note that the first 3 decimals coincide. The cubic root of 3379419800 is about 1500.6544995639.

The spelling of 3379419800 in words is "three billion, three hundred seventy-nine million, four hundred nineteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 95 100 136 152 170 190 200 323 340 380 425 475 646 680 760 850 950 1292 1615 1700 1900 2584 3230 3400 3800 6460 8075 12920 16150 32300 52313 64600 104626 209252 261565 418504 523130 889321 993947 1046260 1307825 1778642 1987894 2092520 2615650 3557284 3975788 4446605 4969735 5231300 7114568 7951576 8893210 9939470 10462600 16897099 17786420 19878940 22233025 24848675 33794198 35572840 39757880 44466050 49697350 67588396 84485495 88932100 99394700 135176792 168970990 177864200 198789400 337941980 422427475 675883960 844854950 1689709900 3379419800