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3390630360 = 2335134874463
BaseRepresentation
bin1100101000011000…
…1110100111011000
322202022001212110020
43022012032213120
523421000132420
61320240550440
7150010611465
oct31206164730
98668055406
103390630360
11148aa16857
127a7622420
134205c5170
1424244c66c
1514ca06340
hexca18e9d8

3390630360 has 128 divisors (see below), whose sum is σ = 10979297280. Its totient is φ = 832716288.

The previous prime is 3390630317. The next prime is 3390630361. The reversal of 3390630360 is 630360933.

It is a super-2 number, since 2×33906303602 = 22992748476307459200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390630361) 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, 757489 + ... + 761951.

It is an arithmetic number, because the mean of its divisors is an integer number (85775760).

Almost surely, 23390630360 is an apocalyptic number.

3390630360 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 3390630360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489648640).

3390630360 is an abundant number, since it is smaller than the sum of its proper divisors (7588666920).

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

3390630360 is a wasteful number, since it uses less digits than its factorization.

3390630360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 33.

The square root of 3390630360 is about 58229.1195193608. The cubic root of 3390630360 is about 1502.3120433616.

The spelling of 3390630360 in words is "three billion, three hundred ninety million, six hundred thirty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 487 520 780 974 1461 1560 1948 2435 2922 3896 4463 4870 5844 6331 7305 8926 9740 11688 12662 13389 14610 17852 18993 19480 22315 25324 26778 29220 31655 35704 37986 44630 50648 53556 58019 58440 63310 66945 75972 89260 94965 107112 116038 126620 133890 151944 174057 178520 189930 232076 253240 267780 290095 348114 379860 464152 535560 580190 696228 759720 870285 1160380 1392456 1740570 2173481 2320760 3481140 4346962 6520443 6962280 8693924 10867405 13040886 17387848 21734810 26081772 28255253 32602215 43469620 52163544 56510506 65204430 84765759 86939240 113021012 130408860 141276265 169531518 226042024 260817720 282552530 339063036 423828795 565105060 678126072 847657590 1130210120 1695315180 3390630360