Search a number
-
+
3690302976 = 29369887
BaseRepresentation
bin1101101111110101…
…1000111000000000
3100112011221211000000
43123331120320000
530024204143401
61410104000000
7160310025543
oct33375307000
910464854000
103690302976
111624097278
1286ba60000
1346a709c39
1427017885a
15168e9d186
hexdbf58e00

3690302976 has 140 divisors (see below), whose sum is σ = 11056158432. Its totient is φ = 1229976576.

The previous prime is 3690302971. The next prime is 3690302981. The reversal of 3690302976 is 6792030963.

3690302976 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 (3690302971) and next prime (3690302981).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3690302971) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 368305 + ... + 378191.

Almost surely, 23690302976 is an apocalyptic number.

3690302976 is a gapful number since it is divisible by the number (36) 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 3690302976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528079216).

3690302976 is an abundant number, since it is smaller than the sum of its proper divisors (7365855456).

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

3690302976 is an frugal number, since it uses more digits than its factorization.

3690302976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9923 (or 9892 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 3690302976 is about 60747.8639624473. The cubic root of 3690302976 is about 1545.3280027516.

The spelling of 3690302976 in words is "three billion, six hundred ninety million, three hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 9887 10368 11664 13824 15552 19774 20736 23328 29661 31104 39548 41472 46656 59322 62208 79096 88983 93312 118644 124416 158192 177966 186624 237288 266949 316384 355932 373248 474576 533898 632768 711864 800847 949152 1067796 1265536 1423728 1601694 1898304 2135592 2402541 2531072 2847456 3203388 3796608 4271184 4805082 5062144 5694912 6406776 7207623 7593216 8542368 9610164 11389824 12813552 14415246 15186432 17084736 19220328 22779648 25627104 28830492 34169472 38440656 45559296 51254208 57660984 68338944 76881312 102508416 115321968 136677888 153762624 205016832 230643936 307525248 410033664 461287872 615050496 922575744 1230100992 1845151488 3690302976