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2034489696 = 253374191367
BaseRepresentation
bin111100101000011…
…1101100101100000
312020210020210012020
41321100331211200
513131312132241
6533514101440
7101262606561
oct17120754540
95223223166
102034489696
11954464248
1248941a880
13265661a75
141542b6168
15bd926b66
hex7943d960

2034489696 has 96 divisors (see below), whose sum is σ = 5501986560. Its totient is φ = 657778176.

The previous prime is 2034489689. The next prime is 2034489701. The reversal of 2034489696 is 6969844302.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1487605 + ... + 1488971.

It is an arithmetic number, because the mean of its divisors is an integer number (57312360).

Almost surely, 22034489696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034489696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750993280).

2034489696 is an abundant number, since it is smaller than the sum of its proper divisors (3467496864).

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

2034489696 is a wasteful number, since it uses less digits than its factorization.

2034489696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The square root of 2034489696 is about 45105.3178239551. The cubic root of 2034489696 is about 1267.1221952855.

The spelling of 2034489696 in words is "two billion, thirty-four million, four hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 419 444 592 838 888 1184 1257 1367 1676 1776 2514 2734 3352 3552 4101 5028 5468 6704 8202 10056 10936 13408 15503 16404 20112 21872 31006 32808 40224 43744 46509 50579 62012 65616 93018 101158 124024 131232 151737 186036 202316 248048 303474 372072 404632 496096 572773 606948 744144 809264 1145546 1213896 1488288 1618528 1718319 2291092 2427792 3436638 4582184 4855584 6873276 9164368 13746552 18328736 21192601 27493104 42385202 54986208 63577803 84770404 127155606 169540808 254311212 339081616 508622424 678163232 1017244848 2034489696