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3673216320 = 263516072381
BaseRepresentation
bin1101101011110000…
…1101010101000000
3100110222210201111220
43122330031111000
530010320410240
61404253435040
7160011552324
oct33274152500
910428721456
103673216320
111615486874
1286619ba80
134670068a7
1426bbab984
151677255d0
hexdaf0d540

3673216320 has 112 divisors (see below), whose sum is σ = 11674620288. Its totient is φ = 978503680.

The previous prime is 3673216303. The next prime is 3673216343. The reversal of 3673216320 is 236123763.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1541530 + ... + 1543910.

Almost surely, 23673216320 is an apocalyptic number.

3673216320 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 3673216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837310144).

3673216320 is an abundant number, since it is smaller than the sum of its proper divisors (8001403968).

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

3673216320 is a wasteful number, since it uses less digits than its factorization.

3673216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 3673216320 is about 60607.0649347087. The cubic root of 3673216320 is about 1542.9392787941.

The spelling of 3673216320 in words is "three billion, six hundred seventy-three million, two hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1607 2381 3214 4762 4821 6428 7143 8035 9524 9642 11905 12856 14286 16070 19048 19284 23810 24105 25712 28572 32140 35715 38096 38568 47620 48210 51424 57144 64280 71430 76192 77136 95240 96420 102848 114288 128560 142860 152384 154272 190480 192840 228576 257120 285720 308544 380960 385680 457152 514240 571440 761920 771360 1142880 1542720 2285760 3826267 7652534 11478801 15305068 19131335 22957602 30610136 38262670 45915204 57394005 61220272 76525340 91830408 114788010 122440544 153050680 183660816 229576020 244881088 306101360 367321632 459152040 612202720 734643264 918304080 1224405440 1836608160 3673216320