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3924298680 = 2335314324533
BaseRepresentation
bin1110100111101000…
…0000101110111000
3101010111021000202120
43221322000232320
531014110024210
61445223201240
7166150663011
oct35172005670
911114230676
103924298680
111734189755
129162a6220
134a7037b33
1429328a008
1517e7c0270
hexe9e80bb8

3924298680 has 128 divisors (see below), whose sum is σ = 12435793920. Its totient is φ = 989130240.

The previous prime is 3924298673. The next prime is 3924298687. The reversal of 3924298680 is 868924293.

3924298680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3924298673) and next prime (3924298687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3924298687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147694 + ... + 172226.

It is an arithmetic number, because the mean of its divisors is an integer number (97154640).

Almost surely, 23924298680 is an apocalyptic number.

3924298680 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 3924298680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217896960).

3924298680 is an abundant number, since it is smaller than the sum of its proper divisors (8511495240).

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

3924298680 is a wasteful number, since it uses less digits than its factorization.

3924298680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24621 (or 24617 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 3924298680 is about 62644.2230377231. The cubic root of 3924298680 is about 1577.3231767433.

The spelling of 3924298680 in words is "three billion, nine hundred twenty-four million, two hundred ninety-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 43 60 62 86 93 120 124 129 155 172 186 215 248 258 310 344 372 430 465 516 620 645 744 860 930 1032 1240 1290 1333 1720 1860 2580 2666 3720 3999 5160 5332 6665 7998 10664 13330 15996 19995 24533 26660 31992 39990 49066 53320 73599 79980 98132 122665 147198 159960 196264 245330 294396 367995 490660 588792 735990 760523 981320 1054919 1471980 1521046 2109838 2281569 2943960 3042092 3164757 3802615 4219676 4563138 5274595 6084184 6329514 7605230 8439352 9126276 10549190 11407845 12659028 15210460 15823785 18252552 21098380 22815690 25318056 30420920 31647570 32702489 42196760 45631380 63295140 65404978 91262760 98107467 126590280 130809956 163512445 196214934 261619912 327024890 392429868 490537335 654049780 784859736 981074670 1308099560 1962149340 3924298680