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2073934408 = 237313471237
BaseRepresentation
bin111101110011101…
…1011101001001000
312100112110210011111
41323213123221020
513221411400113
6541443340104
7102252103000
oct17347335110
95315423144
102073934408
11974755687
1249a681634
13270892930
14159623000
15c211913d
hex7b9dba48

2073934408 has 128 divisors (see below), whose sum is σ = 4991616000. Its totient is φ = 802351872.

The previous prime is 2073934339. The next prime is 2073934459. The reversal of 2073934408 is 8044393702.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675966 + ... + 1677202.

It is an arithmetic number, because the mean of its divisors is an integer number (38997000).

Almost surely, 22073934408 is an apocalyptic number.

2073934408 is a gapful number since it is divisible by the number (28) 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 2073934408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495808000).

2073934408 is an abundant number, since it is smaller than the sum of its proper divisors (2917681592).

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

2073934408 is a wasteful number, since it uses less digits than its factorization.

2073934408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 2073934408 is about 45540.4700019664. The cubic root of 2073934408 is about 1275.2588290117.

The spelling of 2073934408 in words is "two billion, seventy-three million, nine hundred thirty-four thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 47 49 52 56 91 94 98 104 182 188 196 329 343 364 376 392 611 637 658 686 728 1222 1237 1274 1316 1372 2303 2444 2474 2548 2632 2744 4277 4459 4606 4888 4948 5096 8554 8659 8918 9212 9896 16081 16121 17108 17318 17836 18424 29939 32162 32242 34216 34636 35672 58139 59878 60613 64324 64484 69272 112567 116278 119756 121226 128648 128968 209573 225134 232556 239512 242452 406973 419146 424291 450268 465112 484904 755807 787969 813946 838292 848582 900536 1511614 1575938 1627892 1676584 1697164 2848811 3023228 3151876 3255784 3394328 5290649 5515783 5697622 6046456 6303752 10581298 11031566 11395244 19941677 21162596 22063132 22790488 37034543 39883354 42325192 44126264 74069086 79766708 148138172 159533416 259241801 296276344 518483602 1036967204 2073934408