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3934903740 = 22351392711741
BaseRepresentation
bin1110101010001001…
…1101110110111100
3101011020012211011120
43222202131312330
531024313404430
61450242350540
7166340062365
oct35242356674
911136184146
103934903740
11173a172469
1291995b450
134a92abc11
1429484ab6c
151806b7610
hexea89ddbc

3934903740 has 96 divisors (see below), whose sum is σ = 11144340480. Its totient is φ = 1037318400.

The previous prime is 3934903729. The next prime is 3934903771. The reversal of 3934903740 is 473094393.

It is a junction number, because it is equal to n+sod(n) for n = 3934903692 and 3934903701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2259270 + ... + 2261010.

It is an arithmetic number, because the mean of its divisors is an integer number (116086880).

Almost surely, 23934903740 is an apocalyptic number.

3934903740 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 3934903740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572170240).

3934903740 is an abundant number, since it is smaller than the sum of its proper divisors (7209436740).

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

3934903740 is a wasteful number, since it uses less digits than its factorization.

3934903740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The square root of 3934903740 is about 62728.8110839031. The cubic root of 3934903740 is about 1578.7427561888.

The spelling of 3934903740 in words is "three billion, nine hundred thirty-four million, nine hundred three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 271 278 417 542 556 695 813 834 1084 1355 1390 1626 1668 1741 2085 2710 2780 3252 3482 4065 4170 5223 5420 6964 8130 8340 8705 10446 16260 17410 20892 26115 34820 37669 52230 75338 104460 113007 150676 188345 226014 241999 376690 452028 471811 483998 565035 725997 753380 943622 967996 1130070 1209995 1415433 1451994 1887244 2260140 2359055 2419990 2830866 2903988 3629985 4718110 4839980 5661732 7077165 7259970 9436220 14154330 14519940 28308660 65581729 131163458 196745187 262326916 327908645 393490374 655817290 786980748 983725935 1311634580 1967451870 3934903740