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2034750720 = 28353117093
BaseRepresentation
bin111100101000111…
…1101010100000000
312020210202001020210
41321101331110000
513131344010340
6533523434120
7101265044562
oct17121752400
95223661223
102034750720
11954622372
12489525940
13265723812
14154343332
15bd979180
hex7947d500

2034750720 has 144 divisors (see below), whose sum is σ = 6708506112. Its totient is φ = 525066240.

The previous prime is 2034750703. The next prime is 2034750721. The reversal of 2034750720 is 270574302.

It is a super-3 number, since 3×20347507203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034750721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110494 + ... + 127586.

It is an arithmetic number, because the mean of its divisors is an integer number (46586848).

Almost surely, 22034750720 is an apocalyptic number.

2034750720 is a gapful number since it is divisible by the number (20) 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 2034750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354253056).

2034750720 is an abundant number, since it is smaller than the sum of its proper divisors (4673755392).

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

2034750720 is a wasteful number, since it uses less digits than its factorization.

2034750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17148 (or 17134 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 2034750720 is about 45108.2112258954. The cubic root of 2034750720 is about 1267.1763833472.

The spelling of 2034750720 in words is "two billion, thirty-four million, seven hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3720 3840 3968 4960 5952 7440 7936 9920 11904 14880 17093 19840 23808 29760 34186 39680 51279 59520 68372 85465 102558 119040 136744 170930 205116 256395 273488 341860 410232 512790 529883 546976 683720 820464 1025580 1059766 1093952 1367440 1589649 1640928 2051160 2119532 2187904 2649415 2734880 3179298 3281856 4102320 4239064 4375808 5298830 5469760 6358596 6563712 7948245 8204640 8478128 10597660 10939520 12717192 13127424 15896490 16409280 16956256 21195320 21879040 25434384 31792980 32818560 33912512 42390640 50868768 63585960 65637120 67825024 84781280 101737536 127171920 135650048 169562560 203475072 254343840 339125120 406950144 508687680 678250240 1017375360 2034750720