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2077942734 = 23472816521
BaseRepresentation
bin111101111011010…
…1110001111001110
312100211000102120000
41323312232033032
513223423131414
6542105305130
7102331136040
oct17366561716
95324012500
102077942734
11976a4314a
1249ba951a6
1327166721a
14159d87a90
15c265bb09
hex7bdae3ce

2077942734 has 80 divisors (see below), whose sum is σ = 5341048416. Its totient is φ = 591494400.

The previous prime is 2077942721. The next prime is 2077942753. The reversal of 2077942734 is 4372497702.

It is a super-3 number, since 3×20779427343 (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2077942734.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 315394 + ... + 321914.

Almost surely, 22077942734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2077942734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670524208).

2077942734 is an abundant number, since it is smaller than the sum of its proper divisors (3263105682).

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

2077942734 is a wasteful number, since it uses less digits than its factorization.

2077942734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 2077942734 is about 45584.4571537273. The cubic root of 2077942734 is about 1276.0798712955.

The spelling of 2077942734 in words is "two billion, seventy-seven million, nine hundred forty-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 281 378 562 567 843 1134 1686 1967 2529 3934 5058 5901 6521 7587 11802 13042 15174 17703 19563 22761 35406 39126 45522 45647 53109 58689 91294 106218 117378 136941 159327 176067 273882 318654 352134 410823 528201 821646 1056402 1232469 1832401 2464938 3664802 3697407 5497203 7394814 10994406 12826807 16491609 25653614 32983218 38480421 49474827 76960842 98949654 115441263 148424481 230882526 296848962 346323789 692647578 1038971367 2077942734